8) In isosceles trapezoid MNPQ with MN || QP, diagonal MPI MQ. If PQ = 34 and NP = 16, find MP. QP-MGQ'+MPL M, %3D MP²-34 MP%=30 2. 162-1156-256=900 34 9) In the figure, al|b||c and B is the midpoint of AC. If AB = 4x - 3, BC =x + 18, and DE = 2x + 9, find EF. %3D DE=EF BC=DE メ+1る=2x+9 =2大+9 E, EF%=2.9+9227 10) Write a formal proof of the theorem: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. 11) Find the value of x in the proportion. メ=-3土る4-4.3(-3) 2 3x x+2 4-x 8-2X3D3X2+6x 3x248x-8%=D0 2.3 メメニー8+405,3 X=ーュニタ 6. -8-9 6. %=上 DC-8. Ac-DC Ce CB=100-12.5 12) Assume that AC is the geometric mean of DC and CB. Find CB if AC-10 and DC 8. 100 Ac=DC CB 100 =8.C0 =12,5

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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8) In isosceles trapezoid MNPQ with MN || QP, diagonal MPI MQ. If PQ = 34 and
NP = 16, find MP. QP-MGQ'+MPL
M,
%3D
MP²-34
MP%=30
2.
162-1156-256=900
34
9) In the figure, al|b||c and B is the midpoint of AC. If AB = 4x - 3, BC =x + 18, and
DE = 2x + 9, find EF.
%3D
DE=EF
BC=DE
メ+1る=2x+9 =2大+9
E,
EF%=2.9+9227
10) Write a formal proof of the theorem: If both pairs of opposite sides of a quadrilateral
are congruent, then the quadrilateral is a parallelogram.
11) Find the value of x in the proportion.
メ=-3土る4-4.3(-3)
2 3x
x+2 4-x
8-2X3D3X2+6x
3x248x-8%=D0
2.3
メメニー8+405,3 X=ーュニタ
6.
-8-9
6.
%=上
DC-8. Ac-DC Ce CB=100-12.5
12) Assume that AC is the geometric mean of DC and CB. Find CB if AC-10 and
DC 8.
100
Ac=DC CB
100 =8.C0
=12,5
Transcribed Image Text:8) In isosceles trapezoid MNPQ with MN || QP, diagonal MPI MQ. If PQ = 34 and NP = 16, find MP. QP-MGQ'+MPL M, %3D MP²-34 MP%=30 2. 162-1156-256=900 34 9) In the figure, al|b||c and B is the midpoint of AC. If AB = 4x - 3, BC =x + 18, and DE = 2x + 9, find EF. %3D DE=EF BC=DE メ+1る=2x+9 =2大+9 E, EF%=2.9+9227 10) Write a formal proof of the theorem: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. 11) Find the value of x in the proportion. メ=-3土る4-4.3(-3) 2 3x x+2 4-x 8-2X3D3X2+6x 3x248x-8%=D0 2.3 メメニー8+405,3 X=ーュニタ 6. -8-9 6. %=上 DC-8. Ac-DC Ce CB=100-12.5 12) Assume that AC is the geometric mean of DC and CB. Find CB if AC-10 and DC 8. 100 Ac=DC CB 100 =8.C0 =12,5
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