Question

the graph below shows triangle a and triangle b. the side lengths of triangle a are proportional to the side lengths of triangle b, and the corresponding angle measures of the two triangles are equal. which statement best describes the relationship between triangle a and triangle b? a. the triangles are similar but not congruent. b. the triangles are congruent but not similar. c. the triangles are both similar and congruent. d. the triangles are neither similar nor congruent.

Explanation:

Similar triangles have proportional side - lengths and equal corresponding angles. Congruent triangles have equal side - lengths and equal corresponding angles. Since the side - lengths are proportional but not equal (implied by 'proportional' rather than 'equal') and angles are equal, the triangles are similar but not congruent.

Answer:

A. The triangles are similar but not congruent