Consider the incomplete paragraph proof shown. Given: Isosceles AABC with AB BC. Prove: LA LC A D C Let D be the midpoint of AC and draw in BD. From the given statements and the definition of isosceles triangle, AB BC. Also, since D is the midpoint of AC By the ,it is also known that BD BD Therefore, AABD ACBD by the Therefore, LA LC because corresponding parts of congruent triangles are congruent. What are the missing parts of the proof? A AD CD Reflexive Property, SAS Congruence Postulate B AD CD. Reflexive Property, SSS Congruence Postulate C C AC BD. Symmetric Property, SAS Congruence Postulate D AC BD Symmetric Property, SSS Congruence Postulate

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 14E
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Consider the incomplete paragraph proof shown.
Given: Isosceles AABC with AB BC.
Prove: LA ZC
В
A
D C
Let D be the midpoint of AC and draw in BD. From the given statements and the definition of isosceles triangle, AB BC. Also.
since D is the midpoint of AC ,
By the
it is also known that BD BD. Therefore, AABD ACBD by
the
Therefore, ZA ZC because corresponding parts of congruent triangles are congruent.
What are the missing parts of the proof?
A
AD CD, Reflexive Property; SAS Congruence Postulate
В
AD CD, Reflexive Property; SSS Congruence Postulate
C
AC BD Symmetric Property; SAS Congruence Postulate
AC BD Symmetric Property, SSS Congruence Postulate
Transcribed Image Text:Consider the incomplete paragraph proof shown. Given: Isosceles AABC with AB BC. Prove: LA ZC В A D C Let D be the midpoint of AC and draw in BD. From the given statements and the definition of isosceles triangle, AB BC. Also. since D is the midpoint of AC , By the it is also known that BD BD. Therefore, AABD ACBD by the Therefore, ZA ZC because corresponding parts of congruent triangles are congruent. What are the missing parts of the proof? A AD CD, Reflexive Property; SAS Congruence Postulate В AD CD, Reflexive Property; SSS Congruence Postulate C AC BD Symmetric Property; SAS Congruence Postulate AC BD Symmetric Property, SSS Congruence Postulate
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