Get the solution to "State the third congruence required to prove the..."

Jason Farmer

Answered question

2021-02-21

State the third congruence required to prove the congruence of triangles using the indicated postulate.

a) $\overset{―}{Z Y} \tilde{=} \overset{―}{J L}$
b) $∠ X \tilde{=} ∠ K$
c) $\overset{―}{K L} \tilde{=} \overset{―}{X Z}$
d) $∠ Y \tilde{=} ∠ L$

Answer & Explanation

estenutC

Skilled2021-02-22Added 81 answers

Step 1
Given figure,

we have to state the congruence required to prove the congruence of triangles using the indicated postulate.
Step 2
It is given that both triangles are congruent by criteria of SAS
$I n △ Z X Y and △ L K J$
$\overset{―}{Z X} \tilde{=} \overset{―}{K L}$
$\overset{―}{X Y} \tilde{=} \overset{―}{J K}$
$∠ X \tilde{=} ∠ K$
by criteria of SAS
$△ Z X Y \tilde{=} △ L K J$
so, the third congruence is $∠ X \tilde{=} ∠ K$ to prove the congruence of triangles
so, option B is correct.

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