The diagram below shows a transversal line crossing through AB and CD. AB is parallel to CD. Given the information above, a student makes the claim 21 25. Her work to prove this claim is shown in the table below. Step Statement It is given that AB || CD. 21 23 therefore m21=m23 23 = 25 therefore m23=m25 If m21=m23 and m23 = m25, then m21 = m25 Therefore 41 25 1 2 3 Which reason best supports the statement she made in step 3 of her work? AO Vertical angles are congruent. B. Supplementary angles are congruent. C. Corresponding angles formed by two parallel lines are congruent. ) Alternate interior angles formed by two parallel lines are congruent. D.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
icon
Related questions
Question
The diagram below shows a transversal line crossing through AB and CD. AB is parallel to CD.
Given the information above, a student makes the claim 21 5. Her work to prove this claim is shown in the table below.
Step
Statement
It is given that AB || CD.
21 2 23 therefore mz1 = m23
3
23 = 25 therefore mz3 = mz5
If mz1 = m23 and m23 = m25, then mz1=
4
m25
5
Therefore 21 = 25
Which reason best supports the statement she made in step 3 of her work?
А.
Vertical angles are congruent.
В.
Supplementary angles are congruent.
s are
С.
Corresponding angles formed by two paralle lines are congruent.
D.
Alternate interior angles formed by two parallel lines are congruent.
Transcribed Image Text:The diagram below shows a transversal line crossing through AB and CD. AB is parallel to CD. Given the information above, a student makes the claim 21 5. Her work to prove this claim is shown in the table below. Step Statement It is given that AB || CD. 21 2 23 therefore mz1 = m23 3 23 = 25 therefore mz3 = mz5 If mz1 = m23 and m23 = m25, then mz1= 4 m25 5 Therefore 21 = 25 Which reason best supports the statement she made in step 3 of her work? А. Vertical angles are congruent. В. Supplementary angles are congruent. s are С. Corresponding angles formed by two paralle lines are congruent. D. Alternate interior angles formed by two parallel lines are congruent.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell