9 A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C, as shown below. B M Point M is drawn as the midpoint of BC. Which of the following could be used as part of the proof that ZB & ¿C? Select ALL that apply. A. AM AM because of the Symmetric Property. B. BM = CM because of the definition of a midpoint. C. AB = AC because of the definition of an isosceles triangle. D. A ABM = AACMbecause of the SAS triangle congruence criterion. E. ZB = 2C because corresponding parts of congruent triangles are congruent.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 44E: HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a...
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Write down all key words you see in the problem as you make your choice.
9 A student wants to prove that the base angles of
an isosceles triangle are congruent. The student
draws isosceles triangle ABC with base angles B
and C, as shown below.
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of
the proof that ZB & ¿C? Select ALL that apply.
A. AM = AM because of the Symmetric Property.
B. BM CM because of the definition of a
midpoint.
C. AB = AC because of the definition of an
isosceles triangle.
D. A ABM = AACMbecause of the SAS triangle
congruence criterion.
ZB & ZC because corresponding parts of
congruent triangles are congruent.
Е.
Transcribed Image Text:Write down all key words you see in the problem as you make your choice. 9 A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C, as shown below. Point M is drawn as the midpoint of BC. Which of the following could be used as part of the proof that ZB & ¿C? Select ALL that apply. A. AM = AM because of the Symmetric Property. B. BM CM because of the definition of a midpoint. C. AB = AC because of the definition of an isosceles triangle. D. A ABM = AACMbecause of the SAS triangle congruence criterion. ZB & ZC because corresponding parts of congruent triangles are congruent. Е.
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