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5. (12 pts) Given is parallelogram ABCD, and point P on diagonal AC. Then, EF is constructed through P parallel to BC, as well as GH through P parallel to DC, as shown. Prove that EBHP and GPFD have the same area. D A E P H G C B

5. (12 pts) Given is parallelogram ABCD, and point P on diagonal AC. Then, EF is constructed through P parallel to BC, as well as GH through P parallel to DC, as shown. Prove that EBHP and GPFD have the same area. D A E P H G C B

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 73CR
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5. (12 pts) Given is parallelogram ABCD, and point P on diagonal AC. Then, EF is constructed through P parallel to BC, as well as GH through P parallel to DC, as shown. Prove that EBHP and GPFD have the same area. D A E P H G C B
Transcribed Image Text:5. (12 pts) Given is parallelogram ABCD, and point P on diagonal AC. Then, EF is constructed through P parallel to BC, as well as GH through P parallel to DC, as shown. Prove that EBHP and GPFD have the same area. D A E P H G C B
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