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1. The vertices of a quadrilateral PQRS are P (0, -1), Q (- 2, 3), R (6, 7) and S (8, 3). The two diagonals PR and QS intersect at A. a. Find the length and slope of PQ. b. Find the equations of PQ and RS and from there show that, PQ and RS are parallel.

1. The vertices of a quadrilateral PQRS are P (0, -1), Q (- 2, 3), R (6, 7) and S (8, 3). The two diagonals PR and QS intersect at A. a. Find the length and slope of PQ. b. Find the equations of PQ and RS and from there show that, PQ and RS are parallel.

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.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 44E: For isosceles PNQ, the vertices are P-2a,0, N2a,0, and Q0,2b. In terms of a, and b, find the...
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1. The vertices of a quadrilateral PQRS are P (0, -1), Q (- 2, 3), R (6, 7) and S (8, 3). The two diagonals PR and QS intersect at A. a. Find the length and slope of PQ. b. Find the equations of PQ and RS and from there show that, PQ and RS are parallel. c. If QR is the base of the quadrilateral, then find the height of the quadrilateral.
Transcribed Image Text:1. The vertices of a quadrilateral PQRS are P (0, -1), Q (- 2, 3), R (6, 7) and S (8, 3). The two diagonals PR and QS intersect at A. a. Find the length and slope of PQ. b. Find the equations of PQ and RS and from there show that, PQ and RS are parallel. c. If QR is the base of the quadrilateral, then find the height of the quadrilateral.
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