Complete the two - column proof below with the word bank provided. Given: Figure GOALR is equilateral and equiangular. Prove: AYLA is an isosceles triangle.
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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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cb38716-dc5d-48db-ac53-f415d3de98bc%2F9c61145a-108f-4db7-8e79-beea2bef919f%2Fhyim7os_processed.jpeg&w=3840&q=75)
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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