Given: DABCD has vertices A(-1, -3), B(4, 2), C(3, 9), and D(a, b). a. Find the coordinates of the midpoint of AC. b. Using the results found in part a, determine the coordinates of point D. c. Show that DABCD is a rhombus.

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.CR: Review Exercises
Problem 27CR
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I don't understand how to write sentence proofs for this. Please help thanks!

Given: DABCD has vertices A(-1, -3), B(4, 2),
C(3, 9), and D(a, b).
a. Find the coordinates of the midpoint of AC.
b. Using the results found in part a, determine
the coordinates of point D.
c. Show that DABCD is a rhombus.
Transcribed Image Text:Given: DABCD has vertices A(-1, -3), B(4, 2), C(3, 9), and D(a, b). a. Find the coordinates of the midpoint of AC. b. Using the results found in part a, determine the coordinates of point D. c. Show that DABCD is a rhombus.
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