19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2). Use a different method than Question 12. C B D

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
Problem 1CT
icon
Related questions
icon
Concept explainers
Topic Video
Question
Help
19a. Show that quadrilateral ABCD is a parallelogram
Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2). Use a different method than Question 12.
C
A
Transcribed Image Text:19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2). Use a different method than Question 12. C A
Expert Solution
Step 1

Given:

The coordinates of the quadrilateral are:

A=2,0B=3,4C=-2,6D=-3,2

To Prove: ABCD is a parallelogram.

Verifying the quadrilateral to be a parallelogram using the slope of the sides.

As, the slope of a line through Px1,y1 and Qx2,y2 is given by:

m=y2-y1x2-x1

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning