Problem Set 10-11. Given: E and F are parallel planes, Econtains AB, F contains CD,AC1 F, and BD 1 F.Prove: AD and BC bisect each other.2. If Kand Mare planes, K1 L at P, andplane M1 L at T, what can you con-clude about K and M? Why?3. Prove the following statement true or false.If E and F are parallel planes and E contains line L1 and F containsline L2, then L1 || L2.• BG4. Plane G contains points A, B, C, andplane H contains points D, E, F suchthat AD 1 G, AD 1 H, and AB =DF. Which of the following state-A• C•EHD• Fments must be true?(b) BC || EF.(e) AC 1 AD.(c) AABC ADFE.(f). LAFD ZDBA.(h) AC || DF.(a) AF = BD.(d) G || H.(g) AF and BD bisect each other.5. In the figure, ABCD, ADEK, ancOBCEK are parallelograms. Prove that(a) EK || AD || BC, and(b) ZKAB ZEDC.K.

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Description: Problem Set 10-11. Given: E and F are parallel planes, Econtains AB, F contains CD,AC1 F, and BD 1 F.Prove: AD and BC bisect each other.2. If Kand Mare planes, K1 L at P, andplane M1 L at T, what can you con-clude about K and M? Why?3. Prove the fol

It is given that AC⊥F,BD⊥F It is also given that the planes E and F are parallel, therefore AB∥CD…

Answered: 1. Given: E and F are parallel planes,…

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1. Given: E and F are parallel planes, E contains AB, F contains CD, AC 1 F, and BD 1 F. Prove: AD and BC bisect each other. D

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Problem Set 10-1
1. Given: E and F are parallel planes, E
contains AB, F contains CD,
AC1 F, and BD 1 F.
Prove: AD and BC bisect each other.
2. If Kand Mare planes, K1 L at P, and
plane M1 L at T, what can you con-
clude about K and M? Why?
3. Prove the following statement true or false.
If E and F are parallel planes and E contains line L1 and F contains
line L2, then L1 || L2.
• B
G
4. Plane G contains points A, B, C, and
plane H contains points D, E, F such
that AD 1 G, AD 1 H, and AB =
DF. Which of the following state-
A
• C
•E
H
D
• F
ments must be true?
(b) BC || EF.
(e) AC 1 AD.
(c) AABC ADFE.
(f). LAFD ZDBA.
(h) AC || DF.
(a) AF = BD.
(d) G || H.
(g) AF and BD bisect each other.
5. In the figure, ABCD, ADEK, anc
OBCEK are parallelograms. Prove that
(a) EK || AD || BC, and
(b) ZKAB ZEDC.
K.

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