Question

warm up: do these triangles appear to be congruent? why or why not? what could we do to determine if these triangles are actually congruent?

Explanation:

Step1: Recall congruence criteria

We can use SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) and HL (Hypotenuse - Leg for right - triangles) criteria.

Step2: Measure side lengths

Measure the lengths of the corresponding sides of the two triangles. If all three pairs of corresponding sides are equal (SSS), the triangles are congruent.

Step3: Measure angles and sides

If two pairs of corresponding sides and the included angle are equal (SAS), or two pairs of corresponding angles and the included side are equal (ASA), or two pairs of corresponding angles and a non - included side are equal (AAS), the triangles are congruent. In case of right - triangles, check the hypotenuse and one leg (HL).

Answer:

We can measure the side lengths and angles of the two triangles and apply congruence criteria like SSS, SAS, ASA, AAS or HL to determine if they are congruent.