Consider the figure to the right. T Given: CT = PM, CT | PM A Prove: CA = MA M Shown below are the statements and reasons for the proof. They are not in correct order. Statements Reasons I. ACAT = AMAP AAS I. ZCAT = LPAM Vertical Angles Theorem II. CT = PM, CT || PM Given IV. CA = MA СРСТС V. ZCTA = LMPA Alternate Interior Angles Theorem. Which of these is the most logical order for the statements and reasons?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
icon
Related questions
Topic Video
Question
Consider the figure to the right.
T
Given: CT = PM, CT || PM
A
Prove: CA = MA
P4
M
Shown below are the statements and reasons for the proof.
They are not in correct order.
Statements
Reasons
I.
ACAT = AMAP
AAS
I.
ZCAT = LPAM
Vertical Angles Theorem
III.
CT = PM, CT || PM
Given
IV.
CA = MA
СРСТС
V.
ZCTA = LMPA
Alternate Interior Angles Theorem.
Which of these is the most logical order for the statements and reasons?
Transcribed Image Text:Consider the figure to the right. T Given: CT = PM, CT || PM A Prove: CA = MA P4 M Shown below are the statements and reasons for the proof. They are not in correct order. Statements Reasons I. ACAT = AMAP AAS I. ZCAT = LPAM Vertical Angles Theorem III. CT = PM, CT || PM Given IV. CA = MA СРСТС V. ZCTA = LMPA Alternate Interior Angles Theorem. Which of these is the most logical order for the statements and reasons?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 7 images

Blurred answer
Knowledge Booster
Quadrilaterals
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.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning