If triangle ABC cong triangle PRQ- then angle B and PQ are respectively equal toangle P and ACangle Q and ABangle R and BCangle R and AC

Question

If triangle ABC cong triangle PRQ- then angle B and PQ are respectively equal toangle P and ACangle Q  and ABangle R and BCangle R and AC

Toppr Admin · Accepted Answer

Since- -x25B3- ABC -x2245- -x25B3- PRQThus their corresponding parts are equal-x2234- -x2220- B - -x2220- R and PQ-ACBy corresponding sides and angles test-

If $△$ $A B C$ $≅$ $△$ $P R Q$ , then $∠$ $B$ and $P Q$ are respectively equal to
$∠$ $P$ and $A C$
$∠$ $Q$ and $A B$
$∠$ $R$ and $B C$
$∠$ $R$ and $A C$

Since, $△$ $A B C$ $≅$ $△$ $P R Q$
Thus their corresponding parts are equal.
$∴$ $∠$ $B$ $=$ $∠$ $R$ and $P Q = A C$
By corresponding sides and angles test.

If △ ABC ≅ △ PRQ, then ∠ B and PQ are respectively equal to∠ P and AC∠ Q and AB∠ R and BC∠ R and AC

Since, △ ABC ≅ △ PRQThus their corresponding parts are equal.∴ ∠ B = ∠ R and PQ=ACBy corresponding sides and angles test.

If $△$ $A B C$ $≅$ $△$ $P R Q$ , then $∠$ $B$ and $P Q$ are respectively equal to
$∠$ $P$ and $A C$
$∠$ $Q$ and $A B$
$∠$ $R$ and $B C$
$∠$ $R$ and $A C$

Since, $△$ $A B C$ $≅$ $△$ $P R Q$
Thus their corresponding parts are equal.
$∴$ $∠$ $B$ $=$ $∠$ $R$ and $P Q = A C$
By corresponding sides and angles test.