List the angles in order from largest to smallest. A) ∠R, ∠P, ∠Q B) ∠R, ∠Q, ∠P C) ∠Q, ∠P, ∠R D) ∠Q, ∠R, ∠P
1 answer:
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The correct answer is. Proportional.
2. ce
3. Segment Addition Postulate.
By the angle-angle similarity postulate, △YXZ∼△YZQ, and △YXZ∼△ZXQ.
The corresponding sides of two similar triangles are proportional.
<h3>What is the proportional side of a similar triangle?</h3>Since similar triangles have proportional sides, therefore
and
Solving the equation for a² and b² gives
and
The value of a² is cf and the value b² is ce.
Adding these together gives
Factoring out the common segment gives
From the given figure it is clear that
(Segment Addition Postulate)
Using the Segment Addition Postulate, we get
On simplification, we get
Therefore the required answers are 1. Proportional, 2. ce, 3. Segment Addition Postulate.
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