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25. Prove analytically that the four diagonals joining opposite vertices of a rectangular parallelepiped bisect each other. 26. If P, Q. R, and S are four points in three-dimensional space and A, B, C, and D are the midpoints of PQ. QR, RS, and SP, respectively, prove analytically that ABCD is a parallelogram.

25. Prove analytically that the four diagonals joining opposite vertices of a rectangular parallelepiped bisect each other. 26. If P, Q. R, and S are four points in three-dimensional space and A, B, C, and D are the midpoints of PQ. QR, RS, and SP, respectively, prove analytically that ABCD is a parallelogram.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 33E
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25. Prove analytically that the four diagonals joining opposite vertices of a rectangular parallelepiped bisect each other. 26. If P, Q. R, and S are four points in three-dimensional space and A, B, C, and D are the midpoints of PQ. QR, RS, and SP, respectively, prove analytically that ABCD is a parallelogram.
Transcribed Image Text:25. Prove analytically that the four diagonals joining opposite vertices of a rectangular parallelepiped bisect each other. 26. If P, Q. R, and S are four points in three-dimensional space and A, B, C, and D are the midpoints of PQ. QR, RS, and SP, respectively, prove analytically that ABCD is a parallelogram.
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