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Geometry H: Chpt 3/4 Review
(do in your notebooks)
1. Given:
D
AE  BC
ED  CD
G is mdpt of AB
E   C
C
E
Prove: DG  AB
A
B
G
B
2. Given:
1  2
BD  CD
Prove: ZC  ZB
2
X
A
Z
D
1
C
3. If an altitude of a triangle bisects the side to which it is drawn, then the triangle is isosceles.
E is mdpt of CB
4. Given: ACB  ABC
A
ACD  ABD
Prove: AD passes thru E
D
C
B
E
5. One diagonal of a quadrilateral bisects two angles of the quadrilateral. Prove that is bisects the
other diagonal.
6. Given:
TM  SO
T
S
TO  SM
Prove: TE  ES
E
M
O
7. Given: AC  bisDB
A
AD  x 2
AB  5x  14
DX  12x
XB  28 y
E
D
B
DC  4 y 2  24
X
CB  4 y
Find: DX and XB
8. Given:
C
HGF is equilateral
a.) If F   x  32  and H   2x  4  , solve for x and find the mG.
b) If the perimeter of HGF  6 y  24 and HG=3y-7 , find the perimeter of
9. Given:
ABC is isosceles with base BC
mB  ( x 2  6 x), mC  55
Find: Solve for x
HGF.