In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9). Let E, F, G, and H be the midpoints of AB, BC, CD, and DA, respectively. Prove that quadriateral EFGH is a parallelogram.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 10CT
icon
Related questions
Topic Video
Question
How can I prove that quadrilateral EFGH is a parallelogram?
In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9). Let E, F, G, and H
be the midpoints of AB, BC, CD, and DA, respectively.
Prove that quadriateral EFGH is a parallelogram.
Transcribed Image Text:In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9). Let E, F, G, and H be the midpoints of AB, BC, CD, and DA, respectively. Prove that quadriateral EFGH is a parallelogram.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Quadrilaterals
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
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning