Question

Triangle mno is dilated to create triangle pqr on a coordinate grid. you are given that angle n is congruent to angle q. what other information is required to prove that the two triangles are similar?

a. angle o is congruent to angle p.
b. segments mn and pq are congruent.
c. angle m is congruent to angle p.
d. segment mo is congruent to segment pr
e. segment no is congruent to segment qr

Answer 1

To prove that the two triangles are similar, we need either angle o to be congruent to angle p or angle m to be congruent to angle p.

Step-by-step explanation:

In order to prove that the two triangles are similar, we need the additional information that either angle o is congruent to angle p (option a) or angle m is congruent to angle p (option c).

Similar triangles have corresponding angles that are congruent, so in this case, if angle n is congruent to angle q, we also need either angle o to be congruent to angle p or angle m to be congruent to angle p in order for the triangles to be similar.