Question

Which of the following is not a sufficient condition for two triangles to be congruent.

• A. Corresponding sides are equal
• B. Corresponding angles are equal
• C. Two sides and included angles are respectively equal
• D. Two angles and included sides are respectively equal

Answer 1

The correct option is B

Corresponding angles are equal

Step-1: There are five conditions for triangles to be congruent and they must be only in their order.

$ASA-AngleSideAngle$( Two angles and included sides are respectively equal)

$SAS-SideAngleSide$( Two sides and included angles are respectively equal)

$SSS-SideSideSide$ (Corresponding sides are respectively equal)

$AAS-AngleAngleSide$(Two angles and a side are respectively equal)

$RHS-RightHypotenuseSide$( Right angle, Hyptonenuse, and a side are respectively equal)

Step-2: Match from the above conditions and given options

Option-$A$: Corresponding sides are equal ( sufficient condition for two triangles to be congruent.)

Option-$B:$Corresponding angles are equal (not asufficient condition for two triangles to be congruent)

Option-$C$: Two sides and included angles are respectively equal (sufficient condition for two triangles to be congruent)

Option-$D$: Two angles and included sides are respectively equal (sufficient condition for two triangles to be congruent)

Hence, Option $B$is the correct answer.