Consider isosceles triangle ABC with angle bisector AD¯¯. What reasons complete the proof of ∠B≅∠C?  Drag the phrases to the empty boxes to correctly complete each sentence of the proof. AB¯¯≅AC¯¯ because -  ∠BAD≅∠CAD because - AD¯¯≅AD¯ because - △ABD≅△ACD because - ∠B≅∠C because -  Answer choices : of AAS ; of ASA ; of SSS ; it is given ; of the reflexive property ; of the definition of angle bisector ;

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 5E
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Consider isosceles triangle ABC with angle bisector AD¯¯.

What reasons complete the proof of ∠B≅∠C?  Drag the phrases to the empty boxes to correctly complete each sentence of the proof.

AB¯¯≅AC¯¯ because - 

∠BAD≅∠CAD because -

AD¯¯≅AD¯ because -

△ABD≅△ACD because -

∠B≅∠C because - 

Answer choices : of AAS ; of ASA ; of SSS ; it is given ; of the reflexive property ; of the definition of angle bisector ; corresponding parts of congruent triangles are congruent. 

A
В
D
C
Transcribed Image Text:A В D C
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Follow-up Question
Consider isosceles triangle ABC with angle bisector AD.
A
B
D
C
What reasons complete the proof of ZB~ ZC?
Drag the phrases to the empty boxes to correctly complete each sentence of the proof.
AB AC because!
ZBAD/CAD because!
AD AD because
ΔΑΒD ~ ΔAC D because |
ZB/C because!
of AAS
of ASA
of SAS
of SSS
it is given
of the reflexive property
of the definition of angle bisector
corresponding parts of congruent triangles are
congruent
Transcribed Image Text:Consider isosceles triangle ABC with angle bisector AD. A B D C What reasons complete the proof of ZB~ ZC? Drag the phrases to the empty boxes to correctly complete each sentence of the proof. AB AC because! ZBAD/CAD because! AD AD because ΔΑΒD ~ ΔAC D because | ZB/C because! of AAS of ASA of SAS of SSS it is given of the reflexive property of the definition of angle bisector corresponding parts of congruent triangles are congruent
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage