In a triangle ABC, a line is drawn parallel to BC such that it intersects the other two sides at the points P, Q. Which of the following is true regarding the given information?
A
A triangle ABC is similar to BPQ.
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B
A triangle ABC is similar to CPQ.
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C
A triangle ABC is similar to APQ.
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D
Triangles ABC andAPQ need not be similar.
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Solution
The correct option is C A triangle ABC is similar to APQ. Triangle ABC is similar to the triangle APQ because all the angles are equal.