Question

Given: ?A = ?D c = b Prove: AB = DC Fill in the blanks to complete the proof Proof. ?A = ?D } given c = b _ common ? ? ABC ? ? ? AB = DC ______ TRY alternative sol (showing ? AEB ? ? DEC before you read the sol.)

          Given: ?A = ?D
c = b

Prove: AB = DC

Fill in the blanks to complete the proof

Proof. ?A = ?D } given
c = b

_________________ common __________

? ? ABC ? ? __________ __________

? AB = DC ____________________

TRY alternative sol
(showing ? AEB ? ? DEC
before you read the sol.)

Given: ?A = ?D
c = b

Prove: AB = DC

Fill in the blanks to complete the proof

Proof. ?A = ?D given
c = b

common

? ? ABC ? ?

? AB = DC

TRY alternative sol
(showing ? AEB ? ? DEC
before you read the sol.)

Added by Gloria P.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Dr Harish Viswanathan

03/21/2022

Step 1

** We are given that $\angle A = \angle D$ and $c = b$. Since $c$ is the side opposite $\angle A$ in triangle $ABC$ and $b$ is the side opposite $\angle D$ in triangle $DEC$, we know that these sides are congruent. Also, side $AE$ is shared by both triangles. Show more…

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Given ∠A = ∠D c = b Prove: AB = DC Fill in the blanks to complete the proof Proof: ∠A = ∠D c = b given common ∆ ABC ≅ ∆ TRY alternative sol (showing ∆ AEB ≅ ∆ DEC before you read the sol.) AB = DC