Complete the two - column proof below with the word bank provided. Given: Figure GOALR is equilateral and equiangular. Prove: AYLA is an isosceles triangle.

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?...
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Complete the two – column proof below with the word bank provided.
Given: Figure GOALR is equilateral and equiangular.
R
Prove: AYLA is an isosceles triangle.
A
A. Equilateral figures have congruent sides.
C. Reflexive Property
E. Corresponding Parts of Corresponding
Triangles are Congruent.
G. Transitive Property
B. Isosceles Triangle Definition
D. Side - Angle - Side
F. An equiangular figure has all angles that are
congruent.
I. Angle - Angle – Side
H. Base Angle Theorem
J. Angle Addition Postulate.
Statement
Reasons
1. GOALR is equilateral and equiangular.
1. Given
2. RL = OA
2.
Reflevive Proparly
3. LA = LA
3.
4. ZRLA = 20AL
4.
5. ΔRLΑ ΔΟΑL
5.
6. LYLA = ZYAL
7. YL = YA
7.
8. AYLA
8.
MATH
NATION
MathNation.com
MATH
6.
Transcribed Image Text:Complete the two – column proof below with the word bank provided. Given: Figure GOALR is equilateral and equiangular. R Prove: AYLA is an isosceles triangle. A A. Equilateral figures have congruent sides. C. Reflexive Property E. Corresponding Parts of Corresponding Triangles are Congruent. G. Transitive Property B. Isosceles Triangle Definition D. Side - Angle - Side F. An equiangular figure has all angles that are congruent. I. Angle - Angle – Side H. Base Angle Theorem J. Angle Addition Postulate. Statement Reasons 1. GOALR is equilateral and equiangular. 1. Given 2. RL = OA 2. Reflevive Proparly 3. LA = LA 3. 4. ZRLA = 20AL 4. 5. ΔRLΑ ΔΟΑL 5. 6. LYLA = ZYAL 7. YL = YA 7. 8. AYLA 8. MATH NATION MathNation.com MATH 6.
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