Geometry Honors
4.5-5.3 proof practice
Name:
A
1. Given: B and E are midpoints of their respective sides
Triangle CDF is scalene
B
E
C
Prove: Triangle ADF is scalene
D
F
C
2. Given: Circle D
DB  AC , DF  GE
B
D is a midpoint of BF
Prove: AC || GE
D
E
A
F
G
A
3. Given: Triangle ACF is isosceles
Triangle BED is isosceles
BD || CF
B
Prove: BC  DF
D
E
C
F
H
4. Given: AC || HJ , AC  HJ
AE  EJ
J
B is a midpoint of AE
G
D
G is a midpoint of EJ
E
B
Prove: DC || HF
A
C
F
E
A
F
5. Given: AF || JD
AC  BD
AF  JD
EF  JK
B
H
G
C
Prove: ABE is supplementary to GCD
J
K
D