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Answer :
The correct statement is that, they are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.
What are Similar Triangles?
Similar triangles are those triangles which has the same shape but different size.
The angles are equal and length of sides are proportional in similar triangles.
Given two triangles P and Q.
Angles of triangle P = 53.1 degrees, 90 degrees, 36.9 degrees.
Angles of triangle Q = 53.1 degrees, 90 degrees, 36.9 degrees.
Both the triangles have the angles equal to each other.
So the angles are congruent.
For the triangles to be similar, side lengths should be proportional.
Side lengths of P = 6, 8, 10
Side lengths of Q = 18, 24, 30
6 / 18 = 1/3
8 / 24 = 1/3
10 / 30 = 1/3
So the sides are also proportional.
Hence the two triangles P and Q are similar.
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Answer:
C. They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.
