Geometry parallel lines proofs worksheet

of two parallel lines, then it is perpendicular to the other line. If h k and j ⊥ h, then j ⊥ k. Proof Example 2, p. 150; Question 2, p. 150 Theorem 3.12 Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. If m ⊥ p and n ⊥ p, then m n.

Line a is parallel to line b. Line c is parallel to line d. Name the transversal for each angle pair. Then tell if the angles are corresponding, alternate interior, alternate exterior, consecutive interior, or none of these. 12 and 18 _____ 20 and 21 _____If two lines which are parallel are intersected by a transversal then the pair of corresponding angles are equal. From Fig. 3: ∠1=∠6, ∠4=∠8, ∠2= ∠5 and ∠3= ∠7. The converse of this axiom is also true according to which if a pair of corresponding angles are equal then the given lines are parallel to each other. DQJOH. Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 62/87,21 and are corresponding angles of lines j and k. Since , j || k by the Converse of Corresponding Angles Postulate. PROVING LINES ARE PARALLEL WORKSHEET. Problem 1 : In the diagram given below, if ∠1 ≅ ∠2, then prove m||n. Problem 2 : In the diagram given below, if ∠4 and ∠5 are supplementary, then prove g||h. Problem 3 : In the diagram given below, find the value of x that makes j||k. 25) Fill in the blank so that the lines are not parallel: Line A goes through Line B goes through----- -----( , ) and ( , ) ( , ) and ( , ) Anything but 26) Write the equations of five lines that are parallel to y x Many answers. Ex: y x -2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.comMath Practice. Construct Arguments. When the converse of one of the statements is true, what can you conclude about the inverse? Learning Target Success Criteria. GO … This module deals with parallel, perpendicular and intersecting lines. A variety of pdf exercises and word problems will help improve the skills of students in grade 3 through grade 8 to identify and differentiate between parallel, perpendicular and intersecting lines. Some of them are absolutely free of cost! 25) Fill in the blank so that the lines are not parallel: Line A goes through Line B goes through----- -----( , ) and ( , ) ( , ) and ( , ) Anything but 26) Write the equations of five lines that are parallel to y x Many answers. Ex: y x -2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com

Parallel Lines Proof Worksheet - So, if you desire to acquire the amazing pics, click on save link to download the graphics in your personal pc. These are prepared for down load, if you love and wish to grab it, just click save badge in the post, and it’ll be immediately downloaded in your pc. Parallel line proofsConverse parallel line proofsIncludes:- modified proofs with either the statements or reasons missing.- modified proofs with reasons missing- complete proofs with reasonsCongruent Triangle Proofs© 2018 Yevgeniy Sidorevich, "Pi Classroom"Products by Yevgeniy Sidorevich (Pi Classro... Triangle And Parallel Lines. Displaying all worksheets related to - Triangle And Parallel Lines. Worksheets are 7 proportional parts in triangles and parallel lines, Name geometry unit 2 note packet triangle proofs, Geometry part 1 lines and angles, Ms work 132 153 geometry 06, Parallel lines parallel, Proving lines parallel, Parallel ...Worksheets are Proofs with perpendicular lines, Honors geometry chapter 3 proofs involving parallel and, Geometry beginning proofs packet 1, Parallel and perpendicular lines, Geometry proofs and postulates work, Geometry proof practice answers, Math work, Chapter 3 parallel and perpendicular lines. *Click on Open button to open and print to ...Explore geometry Worksheets for grade 10 by Topic. congruent triangles sss sas and asa. converse pythagoras theorem. volume and surface area. transversal of parallel lines. properties of quadrilaterals. area of rectangles and parallelograms. volume and surface area of cones. arcs and chords.

This geometry worksheet is designed for high school students. Oct 9, 2016 - Students complete two proofs, each involving two parallel lines and a transversal. Pinterest ©e Z2t0 h1Z1 k qK UuNtraS ZSZo HfRtqw na cr 6e5 eL KLSC Z.C U 3ASl1lL Qr3i Rguh Nt2s E srIe Ys0e Ir XvYePd2. 7 Z xMkakdJe O lw aiItWh9 tI xnvf 9iCnxi Gtne s LGKecoTmTeZt hrxy G.0 Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Parallel Lines and Transversals Date_____ Period____ of two parallel lines, then it is perpendicular to the other line. If h k and j ⊥ h, then j ⊥ k. Proof Example 2, p. 150; Question 2, p. 150 Theorem 3.12 Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. If m ⊥ p and n ⊥ p, then m n.Geometry / Trig 2 Name _____ 3.2 Parallel Lines & Proofs Practice Date _____ 1 2 3 l m t 1 2 3 l m t Proof #3 Given: k || l Prove: 1 is supplementary to 7 1. _____ 2. If lines are parallel, then alternate interior angles are congruent. 3. Angle Addition Postulate 4. Substitution 5. _____ Statements 1 2 7 k l t STANDARD G.CO.C.9. GEO. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

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3.3 - Proofs with Parallel Lines. Common Core State Standards: HSG-CO.C.9, HSG-CO.D.12. Expected Learning Outcomes. The students will be able to: 1) Prove that two or more lines are parallel.Parallel lines are seen in many common 2D shapes. For example, Each side of a square is made of a line segment that is part of a line. The opposite sides of a square are parallel. There are also many examples of parallel lines in real life. For example, The lines that pass by the sides of a table top are parallel.A flow proof is just one representational style for the logical steps that go into proving a theorem or other proposition; rather than progress downward in two columns, as traditio...Parallel, Perpendicular and Intersecting Lines Worksheets. This module deals with parallel, perpendicular and intersecting lines. A variety of pdf exercises and word problems will help improve the skills of students in grade 3 through grade 8 to identify and differentiate between parallel, perpendicular and intersecting lines.We are given that ∠4 and ∠5 are supplementary. By the linear pair postulate, ∠5 and ∠6 are also supplementary, because they form a linear pair. By the congruence supplements theorem, it follows that ∠4 ≅ ∠6. Therefore, by the alternate interior angles converse, g …Unit test. Test your understanding of Congruence with these NaN questions. Start test. Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.

136 Chapter 3 Parallel and Perpendicular Lines Proving Theorems about Parallel Lines EXAMPLE 2 oving the Alternate Pr Interior Angles Converse Prove that if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. SOLUTION Given ∠4 ≅ ∠5 Prove g h STATEMENTS REASONS 1. ∠4 ≅ 5 1 ...Justify geometric properties using a two-column proof format. RHOB is a Parallelogram 3. RHOB is a Rhombus 4. 3rd angle theorem If 2 angles of a triangle are to 2 angles of another triangle then …Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent 4) Transitive property 5) If base angles are congruent, then triangle is isosceles AEK BED 1) 2) 5) ABE is isosceles BED EBA BAE BAE or Recognizing the altemate interior angles... Example: Given: Prove: Circle ESection 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;There are several angle relationships of which students should be aware. Complementary angles are two angles that together form a 90 degree angle; supplementary angles are two angles that together form a 180 degree angle; and explementary angles are two angles that together form a 360 degree angle.Vertical angles are found at line intersections; angles …Imho the videos (actually there are more of them but they all resort to the same reasoning) about transversals and the ones about the sum of the angles inside a triangle are not consistent because they are circular reasoning : the "sum of angles in a triangle" starts from alleged proof of "angles in parallel lines and transversals", while these video's don't prove anything (it's taken for ...Parallel Lines Cut by a Transversal. Recall that parallel lines have the same slope (rate of change) and will never intersect each other. So when a transversal cuts through any set of parallel lines it forms sets of congruent angles and supplementary angles. If you think of it as one parallel line is the exact copy of the other, it make since ... 3.3 Prove Lines are Parallel FCA 5 #1-11 Hw: Proving Lines Parallel Worksheet Extra Practice 3.3 Proving Lines Parallel 3.3 Prove Lines are Parallel FCA 6 ALL Hw: p 151 # 41* (use paragraph form), pp 160 - 161 # 31*, 36, 37 **You will be turning in # 41, 31** FCA 3.3 Prove Lines are Parallel ALL 7 Extra Proof Practice The most-revelatory drone pictures show patterns and shapes we can't appreciate from the ground. SkyPixel, a photo-sharing site for drone photographers, in partnership with DJI, th...How does a computer's parallel port work? And how can you design things to attach to a parallel port ? Advertisement When a PC wants to send data to a printer, it sends it either t...Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent. When the givens inform you that two lines are parallel. 9. 3rd angle theorem. If 2 angles of a triangle are to 2 angles of another triangle, then the 3rd angles are . 5. Definition of a segment bisector.If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. If two angles are supplementary to the same angle or to congruent angles, then they are congruent.

Vertical angles are congruent is a theorem.Now that it has been proven, you can use it in future proofs without proving it again. 2. When two parallel lines are cut by a transversal, two pairs of alternate interior angles are formed. In the diagram below, \(\angle 3\) and \(\angle 5\) are alternate interior angles.Similarly, \(\angle 4\) and \(\angle 6\) are …

10.2A Angles Formed by Two Straight Lines and a Transversal In the figure, a straight line EF intersects two other straight lines AB and CD. The straight line EF is called a transversal of AB and CD. The 8 angles formed are named according to their relative positions. Corresponding Angles Alternate Angles Interior Angles on the Same Side 1.contributed. Parallel lines are lines in a plane which do not intersect. Like adjacent lanes on a straight highway, two parallel lines face in the same direction, continuing on and on and never meeting each other. In the figure in the first section below, the two lines \overleftrightarrow {AB} AB and \overleftrightarrow {CD} C D are parallel.Parallel lines proofs worksheet answers / proving lines parallel 13 3 proving lines parallel worksheet answers — db-excel.com Parallel line proofs worksheetParallel lines worksheet proofs answers proving activity proof geometry chessmuseum school high teacherspayteachers related posts.When we feel love and kindness toward others it not only makes others feel loved and cared for, it helps us al When we feel love and kindness toward others it not only makes others... Title: geo_3.3_proofs0001.pdf Author: JBRESLOW Created Date: 10/21/2014 1:41:45 PM corresponding angles, then the lines are parallel. You can use algebra along with Postulates 3-1 and 3-2 and Theorems 3-1 through 3-8 to help you solve problems involving parallel lines. Using Algebra Algebra Find the value of x for which O 6m. The two angles are corresponding angles. O 6m when 2x +6 =40. 2x +6 =40 2x =34 Subtract 6 from …PARALLEL LINES AND PROOFS 1 worksheet / Page 1 of 5 (pg 3+ contain answers) FIGURE 1 NOTE: When proving a theorem, you may not use the theorem you are attempting to prove as a reason in the proof. 1. USING FIG 1: Prove “If the lines intersected by a transversal are parallel, then the alternate interior angles are congruent.SaaS small businesses are facing challenging macroeconomic conditions once again. Here are 5 tips for recession-proofing your SMB. SaaS small businesses are facing challenging macr...Learn Geometry skills for free! Choose from hundreds of topics including transformations, congruence, similarity, proofs, trigonometry, and more. Start now! ... Proofs involving parallel lines II Checkpoint: Definitions of geometric objects Checkpoint: Line …

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So, it’s time to ask: How might history remember this man? So, it’s time to ask: How might history remember this man? He made his name in one of America’s most important industries...Parallel lines proving geometryParallel line proofs by kim tallud Geometry 2-2: proving lines parallelParallel proofs lesson. Geometry parallel lines proofs proof mathbitsnotebook practice involvingParallel lines proof geometry math them Parallel proofs line anglesParallel proofs lines. Check Details. Parallel lines proofs …Independent Practice: PROOFS OF PARALLEL LINES . 7. Given: . r. ‖. s. l. ‖. m. Prove: . . 6. . 14. Use the following word bank to complete the proof. 1. 2. 5. 6 r. 3. 4. 7 8. 15. 16. …Kuta Software - Infinite Geometry Name_____ Parallel Lines and Transversals Date________________ Period____ Identify each pair of angles as corresponding, …Are we looking for intelligent life in the wrong place? Stuff They Don't Want You To Know asks whether we should be look in other dimensions instead. Advertisement People have been...If you want more peace of mind at home, use these four preventative tips to pest-proof your home. Expert Advice On Improving Your Home Videos Latest View All Guides Latest View All...Parallel lines are seen in many common 2D shapes. For example, Each side of a square is made of a line segment that is part of a line. The opposite sides of a square are parallel. There are also many examples of parallel lines in real life. For example, The lines that pass by the sides of a table top are parallel. Parallel line proofsConverse parallel line proofsIncludes:- modified proofs with either the statements or reasons missing.- modified proofs with reasons missing- complete proofs with reasonsCongruent Triangle Proofs© 2018 Yevgeniy Sidorevich, "Pi Classroom"Products by Yevgeniy Sidorevich (Pi Classro... Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a transversal, through a pair o...The purchase of these items, accompanied by the materials on the site, will provide you with a smooth year of teaching. This page is the high school geometry common core curriculum support center for objective G.CO.9 about proving theorems about lines and angles. Many teaching resources such as activities and worksheets are provided here.The symbol ∥ means “is parallel to.”. When a line intersects two or more lines, the angles formed at the intersection points create special angle pairs. A transversal is a line that intersects two or more coplanar lines at distinct points. The special angle pairs formed by parallel lines and a transversal are congruent, supplementary, or ...In geometry, parallel lines are the lines that do not meet in a plane. Two straight lines are said to be parallel if they do not intersect at any point in a plane. If two lines have a third … ….

The Simple Help weblog runs through installing Windows 7 on your Mac using Parallels, so you can experience the hype—from the safety of an easily deletable virtual machine. The Sim...Implementing the right tools and systems can make a huge impact on your business. Below are expert tips and tools to recession-proof your business. Implementing the right tools and... Proofs involving parallel lines I. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. Infinite Geometry. Infinite Algebra 2. Infinite Precalculus. Infinite Calculus. Buy Online Purchase Orders Renewals. ... Free Worksheets Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus. Buy. Online Purchase Orders Renewals.Infinite Geometry covers all typical Geometry material, beginning with a review of important Algebra 1 concepts and going through transformations. There are over 85 topics in all, from multi-step equations to constructions. Suitable for any class with geometry content. Designed for all levels of learners, from remedial to advanced. Topics.The following proof of Theorem 3-12 relies on the idea that through a point not on a given line you can draw a line parallel to the given line. Proof of Theorem 3-12 Given: #ABC Prove: m&A + m&B + m&3 = 180 Proof: By the Protractor Postulate, you can draw so that m&1 = m&A.Then, &1 and &A are congruent alternate interior angles, so 6 .Printer marks are the lines that appear in the corner or sides of documents. Print shops use these marks to make sure different color proofs are properly lined up and to indicate w...This geometry video tutorial explains how to prove parallel lines using two column proofs. This video contains plenty of examples and practice problems for ... Geometry parallel lines proofs worksheet, Angles, parallel lines, & transversals. Parallel lines are lines in the same plane that go in the same direction and never intersect. When a third line, called a transversal, crosses these parallel lines, it creates angles. Some angles are equal, like vertical angles (opposite angles) and corresponding angles (same position at each intersection). , Created Date: 1/26/2014 2:23:54 PM, The following proof of Theorem 3-12 relies on the idea that through a point not on a given line you can draw a line parallel to the given line. Proof of Theorem 3-12 Given: #ABC Prove: m&A + m&B + m&3 = 180 Proof: By the Protractor Postulate, you can draw so that m&1 = m&A.Then, &1 and &A are congruent alternate interior angles, so 6 ., The first one focuses on angles, the second on lines and angles. The third one puts it all together. Homework 1 - We can see that ∠ABD and ∠CBD form a linear pair, so they are supplementary to each other. Homework 2 - Vertical angles are equal is the lead here. Homework 3 - Knowing that two lines are parallel, you can learn a lot., Vertical angles are congruent is a theorem.Now that it has been proven, you can use it in future proofs without proving it again. 2. When two parallel lines are cut by a transversal, two pairs of alternate interior angles are formed. In the diagram below, \(\angle 3\) and \(\angle 5\) are alternate interior angles.Similarly, \(\angle 4\) and \(\angle 6\) are …, The converse in geometry applies to a conditional statement. In a conditional statement, the words “if” and “then” are used to show assumptions and conclusions that are to be arriv..., Railroad tracks are parallel. Another example of parallel lines is the lines on ruled paper. All the lines are parallel and never cross. Still, another example is the shelves on a bookcase. Each ..., 3.1 Identify Pairs of Lines/Angles Parallel Lines Parallel Postulate Perpendicular Postulate Skew Lines Parallel Planes Diagram with a cube/box Transversals Angles formed by transversals Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Consecutive Interior- (Same Side Interior) Angles 3.2- Parallel Lines and Transversals, About this worksheet. Tweet. In this worksheet, students complete two geometry proofs. In each proof, students must prove that two lines cut by a transversal are parallel. This worksheet is designed for high school students. Get Worksheet. Topics: Angles, Geometry. Grades: High School. , Geometry Worksheets Listed Alphabetically: Algebraic Representations. Analyzing in Three Dimensions. Angle Word Problems. Angles. Angles Circles- Chords. Angles Outside the Circle. Angles with Parallel Lines. Arcs in Circles., Parallel lines exist everywhere in everyday life, including on the sides of a piece of paper and the way that the shelves of a bookcase are positioned. Parallel lines are two or mo..., 18) Even if the lines in question #16 were not. Any value other than 8. Ideally 0 ≤ x ≤ 10. parallel, could. No, that would make the angles 189° and 206°. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. , congruent, then the lines are parallel. Notes: Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. Notes: If two lines are parallel to the same line, then they are parallel to each other. Notes: k 5 4 j k j 1 8 3 j 5 p q r jk j k If ∠∠3 ..., THOUGHT PROVOKING Draw a diagram of at least two lines cut by at least one transversal. Mark your diagram so that it cannot be proven that any lines are parallel. Then explain how your diagram would need to change in order to prove that lines are parallel. PROOF In Exercises 33–36, write a proof., Section 3.2 Parallel Lines and Transversals 133 Using Properties of Parallel Lines Find the value of x. a b 4 115° (x + 5)°SOLUTION By the Vertical Angles Congruence Theorem (Theorem 2.6), m∠4 = 115°.Lines a and b are parallel, so you can use the theorems about parallel lines. m∠4 + (x + 5)° = 180° Consecutive Interior Angles Theorem 115° + (x + …, Parallel lines and transversals worksheets can help students to learn about angles formed by parallel lines cut by a transversal. Parallel lines and transversals worksheets will help kids in solving geometry problems. Some real-life examples of parallel lines cut by a transversal are zebra crossing on the road, road and railway crossing ..., 3.3 Prove Lines are Parallel FCA 5 #1-11 Hw: Proving Lines Parallel Worksheet Extra Practice 3.3 Proving Lines Parallel 3.3 Prove Lines are Parallel FCA 6 ALL Hw: p 151 # 41* (use paragraph form), pp 160 - 161 # 31*, 36, 37 **You will be turning in # 41, 31** FCA 3.3 Prove Lines are Parallel ALL 7 Extra Proof Practice, Imho the videos (actually there are more of them but they all resort to the same reasoning) about transversals and the ones about the sum of the angles inside a triangle are not consistent because they are circular reasoning : the "sum of angles in a triangle" starts from alleged proof of "angles in parallel lines and transversals", while these video's don't prove anything (it's taken for ..., Parallel Lines Proof Worksheet - So, if you desire to acquire the amazing pics, click on save link to download the graphics in your personal pc. These are prepared for down load, if you love and wish to grab it, just click save badge in the post, and it’ll be immediately downloaded in your pc., 3 3 proving lines parallel worksheet answers — db-excel.comProofs parallel lines worksheet geometry worksheets Parallel lines worksheet proofs answers proving activity proof geometry chessmuseum school high teacherspayteachers related postsParallel lines worksheet answers practice angles proving worksheets line …, Section 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;, Lines parallel perpendicular intersecting worksheets type sheet answer mathworksheets4kids mcqWorksheet parallel lines transversal worksheets answers angles cut geometry transversals key cpctc proofs perpendicular formed guo ning triangle congruence elegant Lines parallel worksheet proving answers unit lesson math …, Kuta Software - Infinite Geometry Name_____ Parallel Lines and Transversals Date________________ Period____ Identify each pair of angles as corresponding, …, 3.1 Identify Pairs of Lines/Angles Parallel Lines Parallel Postulate Perpendicular Postulate Skew Lines Parallel Planes Diagram with a cube/box Transversals Angles formed by transversals Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Consecutive Interior- (Same Side Interior) Angles 3.2- Parallel Lines and Transversals, Worksheets are Proofs with perpendicular lines, Honors geometry chapter 3 proofs involving parallel and, Geometry beginning proofs packet 1, Parallel and perpendicular lines, Geometry proofs and postulates work, Geometry proof practice answers, Math work, Chapter 3 parallel and perpendicular lines. *Click on Open button to open and print to ..., Benefits of Parallel and Perpendicular Lines Worksheets. Parallel and perpendicular lines worksheets are helpful to improve the geometry skills of students. Practice exercises in these math worksheets are paced at increasing difficulty to help students grasp the topic better. By practicing these worksheets, students can identify the difference ..., Displaying all worksheets related to - Parallel Lines Proof. Worksheets are Work section 3 2 angles and parallel lines, Ccommunicate your answerommunicate your answer, Parallel lines proof work, 3 parallel lines and transversals, Honors geometry chapter 3 proofs involving parallel and, Unit 1 tools of geometry reasoning and proof, Find the …, When two lines are intersecting 7. Definition of an angle bisector Results in two angles being congruent 3. Right Angles are Congruent When you are given right triangles and/or a square/ rectangle 8. Definition of a perpendicular bisector Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent, Sep 18, 2014 · Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent. When the givens inform you that two lines are parallel. 9. 3rd angle theorem. If 2 angles of a triangle are to 2 angles of another triangle, then the 3rd angles are . 5. Definition of a segment bisector. , Lines Postulates And Theorems Name Definition Visual Clue. Postulate Through a point not on a given line, there is one and only one line parallel to the given line. Alternate Interior Angles Theorem If two parallel lines are intersected by a transversal, then alternate interior angles are equal in measure., because if one pair of opposite sides of a quadrilateral are both congruent and parallel, the quadrilateral is a parallelogram. AE ≅ CE because the diagonals of a parallelogram bisect each other., Pre-made digital activities. Add highlights, virtual manipulatives, and more., Practice Problems on Parallel Lines cut by trransversal and angles. Corresponding, alternate exterior, same side interior