Question

State whether the following statement is true or false

$\mathrm{AAS}$ congruence criterion is same as $\mathrm{ASA}$ congruence criterion.

• A. True
• B. False

Answer 1

The correct option is B False

$\mathrm{ASA}$ congruence rule : Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.

$\mathrm{AAS}$ congruence rule: two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.

By observing the above figures, $\mathrm{AAS}$ and $\mathrm{ASA}$ are two different congruence criterion.

$\therefore$ $\mathrm{AAS}$ congruence criterion is not same as $\mathrm{ASA}$ congruence criterion.

Hence, given statement is false.