Statement Reason 1 BA BC, YX PZ 1 Given 2 A ABCEs isosceles, AX¥Z is isosceles 2. Definition of isosceles A 3 ZAN ZC, AZ2 3. Base angles of isosceles A are 4 ZAN ZX 4. Given 5. ZC LZ 5. Substitution property of 6 A ABC-AÀ XYZ
Statement Reason 1 BA BC, YX PZ 1 Given 2 A ABCEs isosceles, AX¥Z is isosceles 2. Definition of isosceles A 3 ZAN ZC, AZ2 3. Base angles of isosceles A are 4 ZAN ZX 4. Given 5. ZC LZ 5. Substitution property of 6 A ABC-AÀ XYZ
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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Transcribed Image Text:AA
Statement
Reason
1 BA BC, YX YZ
1. Glven
2. A ABC s isosceles, AXY Z is isosceles
2. Definition of isosceles A
3 ZAN ZC, ZXNZ2
3. Base angles of isosceles A are
4. ZA ZX
4. Given
5. ZCE LZ
5. Substitution property of
6 A ABC- A XYZ
6.
Which reason correctly cormpletes the proof?
ASS Similarty Postulate
AA Similarity Postulate
SAS Similarity Theorem
SSA Simiarty Theorem
Expert Solution
Step 1
AA similarity postulate states that if two pairs of corresponding angles are equal in two triangles, then the triangles are said to be similar.
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