Congruence among Right-Angled Triangles

IMPORTANT

Congruence among Right-Angled Triangles: Overview

This topic covers the concept of RHS Criteria for Congruence of Right Triangles.

Important Questions on Congruence among Right-Angled Triangles

HARD
IMPORTANT

Which of the following statements is/are not true for congruency of triangles.

iTwo right-angled triangles are congruent if the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle.

iiIf all the corresponding angles of two triangles are equal, then the triangles are congruent.

iiiIf two sides and a non-included angle of a triangle are equal to the two corresponding sides and a corresponding non-included angle of other triangle then the triangles are congruent.

EASY
IMPORTANT

In the given pair of triangles, parts bearing identical marks are congruent. The condition by which the triangles are congruent is RHS.
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EASY
IMPORTANT

In the given figure, ABCPQR by RHS criterion. 

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MEDIUM
IMPORTANT

Show that the diagonal of a rectangle divides it in two congruent triangles.

EASY
IMPORTANT

State by which rule of congruence is the pair of triangles congruent. (ASA/SSS/RHS)

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