Choose the correct answer below. AABC and APQR are right triangular sections of a fire escape, as shown. Is each story of the building the same height? Explain. O A. No, because the leg AB is not congruent to the leg PQ. O B. No, because the hypotenuse AC is not congruent to the hypotenuse PR. O C. Yes, because the triangles are congruent by the Third Angles Theorem. So, ZC ZR. D. Yes, because the triangles are congruent by the Hypotenuse-Leg Theorem. So, BC QR.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Choose the correct answer below.
AABC and APQR are right triangular sections of a fire
escape, as shown. Is each story of the building the
same height? Explain.
O A. No, because the leg AB is not congruent to
the leg PQ.
O B. No, because the hypotenuse AC is not
congruent to the hypotenuse PR.
O C. Yes, because the triangles are congruent
by the Third Angles Theorem. So,
ZC ZR.
O D. Yes, because the triangles are congruent
by the Hypotenuse-Leg Theorem. So,
BC QR.
Transcribed Image Text:Choose the correct answer below. AABC and APQR are right triangular sections of a fire escape, as shown. Is each story of the building the same height? Explain. O A. No, because the leg AB is not congruent to the leg PQ. O B. No, because the hypotenuse AC is not congruent to the hypotenuse PR. O C. Yes, because the triangles are congruent by the Third Angles Theorem. So, ZC ZR. O D. Yes, because the triangles are congruent by the Hypotenuse-Leg Theorem. So, BC QR.
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