Question

For $\Delta$1 to be congruent to any $\Delta$2, which of the following is necessary and sufficient?

• A. Any 2 sides of ∆ 1 should be equal to any 2 sides of the ∆ 2
• B. All angles of ∆ 1 should be equal to all angles of ∆ 2
• C. Any 2 sides of ∆ 1 and 1 angle should be equal to any 2 sides and 1 angle of ∆ 2
• D. Any 2 sides of ∆ 1 and including angle should be equal to any 2 sides and including angle of ∆ 2

Answer 1

The correct option is D

Any 2 sides of ∆ 1 and including angle should be equal to any 2 sides and including angle of ∆ 2

2 $\Delta$s can't be congruent if any 2 sides and 1 angle of one are equal to any 2 sides and 1 angle of other. They will be congruent only when the angle is included between the equal pair of sides.