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.
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, 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
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9c6b924-62bd-4f67-a65b-7efbbd5c31fe%2Fdb4a391d-fad1-4498-9f99-4e2b71b7952d%2Fpkjf8pv_processed.jpeg&w=3840&q=75)
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.
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