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Question

Given: EB = BD, AE = CB, A=C=90
Which congruence criterion do you use to prove ΔABEΔCDB?


A
ASA Congruence Criterion
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B
SAS Congruence Criterion
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C
RHS Congruence Criterion
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D
SSS Congruence Criterion
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Solution

The correct option is C RHS Congruence Criterion
In ΔAEB and ΔCBD,

EB=BD [Given]

AE=CB [Given]

A=C=90 [Given]

Hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle.

ΔABEΔCDB by RHS congruence criterion.

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