Question

The triangles shown below must be congruent.

Answer 1

true by the angle side angle theorem

Answer 2

Answer:

Option A is correct.

Yes, it is true that the triangles shown are congruent.

Step-by-step explanation:

Labelled the diagram as shown below in the attachment:

In triangle ABC and triangle PQR

$\angle ABC \cong \angle PQR = 90^{\circ}$  [Angle]  

$\angle ACB \cong \angle QPR = 40^{\circ}$   [Angle]

$AC \cong PR = 12$ units   [Side]

AAS(Angle-Angle-Side) postulates states that the two angles and the non- included side of one triangle are congruent to the two angles and the non-included side of the other triangle., then the triangles are congruent.

Then, by AAS

$\triangle ABC \cong \triangle PQR$

Therefore, the given triangles shown must be congruent.