Complete the proof that ZTUZ ZSXY. U H S Statement GI | TV GI | WY ZTUZ ZGHZ ZGHZ = ZSXY ZTUZ = ZSXY 1 2 3 4 5 сл G X T W N Reaso Given Given Alterna Altern. Conve Conve Conve

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
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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Complete the proof that ZTUZ N LSXY.
it
H.
W
Statement
Reason
GI || TV
Given
I WY
2
Given
3
ZTUZ = ZGHZ
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorem
4
ZGHZ = LSXY
ZTUZ = ZSXY
5.
Transcribed Image Text:Complete the proof that ZTUZ N LSXY. it H. W Statement Reason GI || TV Given I WY 2 Given 3 ZTUZ = ZGHZ Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem 4 ZGHZ = LSXY ZTUZ = ZSXY 5.
Complete the proof that ZTUZ SXY.
W
Reason
Statement
Given
1
GI | TV
Given
2
GI | WY
3
ZTUZ = ZGHZ
Converse of Same-Side Exterior Angles Theorem
Converse of Same-Side Interior Angles Theorem
Corresponding Angles Theorem
Same-Side Exterior Angles Theorem
Same-Side Interior Angles Theorem
4
ZGHZ = LSXY
ZTUZ = ZSXY
Transcribed Image Text:Complete the proof that ZTUZ SXY. W Reason Statement Given 1 GI | TV Given 2 GI | WY 3 ZTUZ = ZGHZ Converse of Same-Side Exterior Angles Theorem Converse of Same-Side Interior Angles Theorem Corresponding Angles Theorem Same-Side Exterior Angles Theorem Same-Side Interior Angles Theorem 4 ZGHZ = LSXY ZTUZ = ZSXY
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