a) Given two parallel lines cut by a transversal line,explain why:●Corresponding angles are always congruentAlternate interior angles are always congruent●●Same-side interior angles are always supplementaryb) Do the relationships in part (a) hold if the two lines areNOT parallel? Why or why not?

Answered: Image /qna-images/answer/a4cd5640-8028-4924-95b1-2a40fdaf0f2e.jpg

Answered: a) Given two parallel lines cut by a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Similar questions

When two parallel lines are cut by a transversal, which angles are congruent?
Theorem: It two lines are cut by a transversal so that the alternate exterior angles are congruent, then these lines are parallel. Example: which lines must be parallel if 23 = 28? Solution: 23 and 28 are the alternate exterior angles formed when lines c and dare cut by transversal b. Thus, c ll d.
Which angles are on which line? If Im working with the principe that two or more angles on the same straight line will add up to 180º, (as I did I with angle g), then which measurements will give me the correct answers for angles a through f?
me: Write the angle relationship for each pair of angles. Corresponding Angles or Vertical Angles or upplementary Angles Angle Pair Relationships Ň 2) 42 and 46 are 21 and 24 are 3) 24 and 28 are 饮 2 and 22 are vertical corresponding g corresponding correspenting 4) 21 and 25 are 5) 47 and 48 are Supplementary 27 Supplementary Supplementary vertical 23 and 24are 25 and 28 are 9) 22 and 26 are 3 26 and 27 are 5 7 6 8 verti cerrespenting Cal Sheet 2 ble Worksheets @ www.mathworksheets4kids.com
2. In the following diagram, lines m andn are parallel, and t is a transver- sal. Find the measure of the marked angles. Am
(b) Given that the lines in the picture below marked with arrows are parallel, determine the sum of the angles a+b+c without measuring. Show your work or otherwise explain your answer. Hint: You will probably need to extend or add more lines to this drawing. b N

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