Prove that APQR ASTR Q R

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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Fill in the blanks in the attached images, answer options are also attached.

Prove that APQR ASTR.
S
R
P
Statement
Reason
QR TR
PR SR
Given
Given
3
Pick statement v
Pick reason v
4 APQR ASTR
Pick congruence criterion v
congruence
Pick reason
Pick statement v
V Pick reason
4
v Pick statement
Given
4PQR 4STR
Vertical angles are congruent.
4RPQ=4RST
Corresponding parts of congruent triangles are congruent.
4QRP=4TRS
v Pick congruence criterion
Angle-angle-side
Angle-side-angle
Side angle-side
Side side-side
Pick conruence criterion v
cong
Transcribed Image Text:Prove that APQR ASTR. S R P Statement Reason QR TR PR SR Given Given 3 Pick statement v Pick reason v 4 APQR ASTR Pick congruence criterion v congruence Pick reason Pick statement v V Pick reason 4 v Pick statement Given 4PQR 4STR Vertical angles are congruent. 4RPQ=4RST Corresponding parts of congruent triangles are congruent. 4QRP=4TRS v Pick congruence criterion Angle-angle-side Angle-side-angle Side angle-side Side side-side Pick conruence criterion v cong
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