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Question 1 (d)
Which congruence criterion do you use in the following?
Given: EB = BD, AE = CB, A=C=90


Solution



In ΔAEB and ΔCBD,

EB=BD   [hypotenuse]

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   [RHS congruence criterion]

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