6. Given plane M parallel to plane K. A and Care points in M, and B and D are points in K such that ADIKand BCIM. Prove that AB CD.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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10-1 BASIC FACTS ABOUT PARALLEL PLANES
6. Given plane M parallel to plane K. A and Care points in M, and B and D
are points in K such that AD IK and BC 1 M. Prove that AB CD.
7. Prove the following.
If two parallel lines are intersected by two parallel planes, then the
planes intercept congruent segments on the two lines.
8. In the figure, L, and L3 are skew
lines intersecting the parallel planes
E, F, G; and AR intersects F at K.
If AB BC, prove that PQ
- QR.
9. In Problem 8, prove also that
BQ < (AP+ CR).
10. In the figure, M and N are planes
intersecting in AB, and M andN
intersect the parallel planes E and F
in AD, BC, AH, and BG. If ADD
BC and AH- BG, prove that
LDAH LCBG.
G.
Transcribed Image Text:312 10-1 BASIC FACTS ABOUT PARALLEL PLANES 6. Given plane M parallel to plane K. A and Care points in M, and B and D are points in K such that AD IK and BC 1 M. Prove that AB CD. 7. Prove the following. If two parallel lines are intersected by two parallel planes, then the planes intercept congruent segments on the two lines. 8. In the figure, L, and L3 are skew lines intersecting the parallel planes E, F, G; and AR intersects F at K. If AB BC, prove that PQ - QR. 9. In Problem 8, prove also that BQ < (AP+ CR). 10. In the figure, M and N are planes intersecting in AB, and M andN intersect the parallel planes E and F in AD, BC, AH, and BG. If ADD BC and AH- BG, prove that LDAH LCBG. G.
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