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This creates the following three similar triangles. AA Q Using the first two triangles, the proportion, or a² = cd, is true. Using the first and third triangles, the proportion, or b² = ce, is true. Therefore, a² + b² = cd + ce = c(d+e). But because d + e = c, it follows that a² + b² = 2² For the proof to be correct, which of the following statements about line segment QS must be true? A B C It must bisect angle PQR. It must be congruent to line segment QR. It must bisect the hypotenuse of triangle PQR. D It must be perpendicular to the hypotenuse of triangle PQR b d

This creates the following three similar triangles. AA Q Using the first two triangles, the proportion, or a² = cd, is true. Using the first and third triangles, the proportion, or b² = ce, is true. Therefore, a² + b² = cd + ce = c(d+e). But because d + e = c, it follows that a² + b² = 2² For the proof to be correct, which of the following statements about line segment QS must be true? A B C It must bisect angle PQR. It must be congruent to line segment QR. It must bisect the hypotenuse of triangle PQR. D It must be perpendicular to the hypotenuse of triangle PQR b d

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 30E
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This creates the following three similar triangles. a d "R R Using the first two triangles, the proportion = 4, or a? = cd, is true. Using the first and third triangles, the proportion= 5, or b? = ce, is true. Therefore, a? + b = cd + ce = c(d + e). But because d +e = c, it follows that a? + 6? = 2. For the proof to be correct, which of the following statements about line segment QS must be true? It must bisect angle PQR. B It must be congruent to line segment QR. It must bisect the hypotenuse of triangle PQR D It must be perpendicular to the hypotenuse of triangle PQR
Transcribed Image Text:This creates the following three similar triangles. a d "R R Using the first two triangles, the proportion = 4, or a? = cd, is true. Using the first and third triangles, the proportion= 5, or b? = ce, is true. Therefore, a? + b = cd + ce = c(d + e). But because d +e = c, it follows that a? + 6? = 2. For the proof to be correct, which of the following statements about line segment QS must be true? It must bisect angle PQR. B It must be congruent to line segment QR. It must bisect the hypotenuse of triangle PQR D It must be perpendicular to the hypotenuse of triangle PQR
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