Question

Identifying Triangle Congruence Shortcuts AssignmentUsing the tick marks for each pair of triangles, name the method (SSS, SAS, ASA, or AAS) thatcan be used to prove the triangles congruent. If they are not congruent, write not congruent.

Answer 1

Let's start with the information given:

- KJ and MJ are congruent.

- m∠K and m∠M are congruent.

We don't have another clear information, but we need one more to use one of the methods.

As we can see, the interior angles at vertex J are opposite, that is, they are Vertical Angles. Vertical Angles are congruent, so we have one more information:

- m∠HJM and m∠LJK are congruent.

Thus, we have an Angle congruence, a side congruence and another angle congruence, so this can use the Angle-Side-Angle method to prove the congrunce of the triangles.

That is, the methos is Angle-Side-Angle (ASA).