Isosceles Triangle Worksheet Given: D E
1. Given: D E A is the midpoint of DB B is the midpoint of AE
Prove: CDA CEB
Triangle Congruence Isosceles Triangle Worksheet
C
D
A
B
E
2. Given: ABC , CA CB , AR BS
C
DR AC , DS BC
Prove: DR DS
R
S
3. Given: BCF DCE
C is the midpoint of BD
CE CF
Prove: ABD is isosceles
A
D
A
E
B
C
L
4. Given: LM OP , NLO NOL
ML LO , PO OL
Prove: MN NP
B
F D O
M
N
P
C
5. (H) Given: ADEB , AE DB
CDE CED
Prove: ACB is isosceles
A
D
E
B
6. (H) Given: ABC with CA CB ,
D and F are the midpoints of CA and CB DE bisects AG FG bisects EB Prove: DE FG
C
D
F
A
E
G
B
Geometry
Triangle Congruence
7. (H) Given: ARB TSC
RT bisects BRS M is the midpoint of RT Prove: SM bisects RST
A CS
R
B
M
T
8. Given: ABC has vertices A (7 , -1) , B (2, - 2) and C (3, 3) Prove: ABC is an isosceles triangle
5 4 3 2 1
-2 -1 -1 -2 -3
-4
123 456789
Geometry
Triangle Congruence
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