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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...

See similar textbooks

Similar questions

Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how many planes are determined by these points?
Let all of the lines named be coplanar. Make a drawing to reach a conclusion. a If rs and st, then _. b If ab and bc, then _.
Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the planes containing EJF and KJF is larger than 180 .
Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.