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K-B 4- JP A line BQ was constructed parallel to line AP using a compass and a straightedge, as shown in the figure, where AB BD PC. Which of the following can be proven using the given construction? A B C D Since BD BQDQ, it can be proven that triangle BDQ is an equilateral triangle. A Since AB = AP= PQ = BQ, and BQ || AP, it can be proven that quadrilateral ABQP is a rhombus. Since AP DQ, and AD PQ, it can be proven that quadrilateral ADQP is an isosceles trapezoid. Since BP DQ, BD PQ. BD || PQ, and BP DQ, it can be proven that quadrilateral BDQP is a rectangle.

K-B 4- JP A line BQ was constructed parallel to line AP using a compass and a straightedge, as shown in the figure, where AB BD PC. Which of the following can be proven using the given construction? A B C D Since BD BQDQ, it can be proven that triangle BDQ is an equilateral triangle. A Since AB = AP= PQ = BQ, and BQ || AP, it can be proven that quadrilateral ABQP is a rhombus. Since AP DQ, and AD PQ, it can be proven that quadrilateral ADQP is an isosceles trapezoid. Since BP DQ, BD PQ. BD || PQ, and BP DQ, it can be proven that quadrilateral BDQP is a rectangle.

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.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 43E
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A P A line BQ was constructed parallel to line AP using a compass and a straightedge, as shown in the figure, where AB = BD PC Which of the following can be proven using the given construction? Since BD BQ = DQ, it can be proven that triangle BDQ is an equilateral triangle. Since AB = AP PQ BQ, and BQ || AP, it can be proven that quadrilateral ABQP is a rhombus. C Since AP DQ, and AD | PQ, it can be proven that quadrilateral ADQP is an isosceles trapezoid. D. Since BP DQ, BD PQ, BD | PQ, and BP DQ, it can be proven that quadrilateral BDQP is a rectangle.
Transcribed Image Text:A P A line BQ was constructed parallel to line AP using a compass and a straightedge, as shown in the figure, where AB = BD PC Which of the following can be proven using the given construction? Since BD BQ = DQ, it can be proven that triangle BDQ is an equilateral triangle. Since AB = AP PQ BQ, and BQ || AP, it can be proven that quadrilateral ABQP is a rhombus. C Since AP DQ, and AD | PQ, it can be proven that quadrilateral ADQP is an isosceles trapezoid. D. Since BP DQ, BD PQ, BD | PQ, and BP DQ, it can be proven that quadrilateral BDQP is a rectangle.
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