A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point with coordinates (5,7). a. Make a sketch showing that there is a rectangle with these characteristics. b. Write the coordinates of each of the other three vertices. c. Write the equations of the diagonals of the rectangle. d. Find the coordinates of the point of intersection of the diagonals.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point with coordinates (5,7).

a. Make a sketch showing that there is a rectangle with these characteristics.
b. Write the coordinates of each of the other three vertices.
c. Write the equations of the diagonals of the rectangle.
d. Find the coordinates of the point of intersection of the diagonals.
Transcribed Image Text:A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point with coordinates (5,7). a. Make a sketch showing that there is a rectangle with these characteristics. b. Write the coordinates of each of the other three vertices. c. Write the equations of the diagonals of the rectangle. d. Find the coordinates of the point of intersection of the diagonals.
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