In the figure given below, the lengths of the sides of the triangles are indicated. By using SSS congruence rule, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form

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Solution

(i) In the given figure,
In $△ A B C and △ P Q R,$ it’s seen that
$A B = P Q, B C = P R, and A C = Q R$
So, triangles are congruent.
Hence, $△ A B C ≅ △ Q P R$
(ii) In the given figure,
$In △ A B C and △ P Q R$
$A C = P R, B C = P Q$
$But, A B \neq Q R$
Hence, triangles are not congruent.

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In the figure given below, the lengths of the sides of the triangles are indicated. By using SSS congruence rule, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form

(i) In the given figure, In △ABC and △PQR, it’s seen that AB=PQ,BC=PR, and AC=QR So, triangles are congruent. Hence, △ABC≅△QPR (ii) In the given figure, In △ABC and △PQR AC=PR,BC=PQ But, AB≠QR Hence, triangles are not congruent.