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?

Answer 1

You need information saying M is coordinate to P or R and that O is coordinate to P or R.

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Answer 2

Answer with explanation:

It is given that, Δ M NO is dilated to create Δ P QR on a coordinate grid.

Pre Image =  Δ M NO

  Image = Δ P QR

When a triangle is Dilated, the two triangles , the triangle before Dilation and after Dilation are Similar.

→∠N = ∠Q [Given]

By proving Corresponding Angles are equal,you can prove two triangles are Similar.

Then ,  ∠M = ∠P and ∠O=∠R.

Also,By proving Corresponding Sides are Proportional, you can prove two triangles are Similar.

$\frac{MN}{PQ}=\frac{NO}{QR}=\frac{MO}{PR}$