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? segments mn and pq are congruent. angle o is congruent to angle p. segment mo is congruent to segment pr, and segment no is congruent to segment qr. angle m is congruent to angle p.

As we know two triangles are similar by the following Postulates:

1. Side-Side-Side Proportionality

2.Side-Angle-Side Proportionality

3.Angle - Angle Similarity

Given: Triangle MNO is dilated to create triangle PQR on a coordinate grid.

∠N ≅ ∠Q

As to prove similarity of two triangles , line segments that is corresponding sides of triangles can't be congruent.They must be proportional.

As well as we have to select angles in such a way As :ΔMNO~ΔPQR

⇒∠N→∠Q, ∠M→∠P, ∠O→∠R

The option : Angle M is congruent to angle P is true.

The answer is D! Angle M is congruent to P

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