Question

lesson practice 8.2.07 name: alondra games - poulter6 date: 9/26/25 period: 4 7. which of the following best describes the triangles shown? a. congruent but not similar b. similar but not congruent c. both similar and congruent d. neither similar nor congruent

Explanation:

Step1: Recall similarity criteria

Two triangles are similar if their corresponding angles are equal. In the given triangles, one triangle has angles 60°, 90° and 30° and the other also has angles 30°, 90° and 60°. So, they are similar.

Step2: Recall congruence criteria

For right - angled triangles, if one side and an acute angle of one right - angled triangle are equal to the corresponding side and acute angle of another right - angled triangle, the triangles are congruent. Here, the hypotenuse of both triangles is 16 and they have a common acute angle measure. So, they are congruent.

Answer:

C. Both similar and congruent