Download Decide whether there is a triangle congruent to

Geometry Sections 4.3 & 4.4 HW
Decide whether there is a triangle congruent to  ABC . If so, write the congruence statement and name the
postulate used (SSS, SAS or ASA). Be sure to mark any needed, additional congruent angles and congruent
sides on the figure. If no triangles are congruent, write none.
A
A
1.
2.
C
C
4.
C
J
5.
A
H
F
E
B
D
B
B
3. A
A
6.
C
A
B
C
B
I
B
K
G
C
7.
8.
C
A
9.
C
C
60
61
L
59
60
B
N
M
B
B
A
A
A
10.
11.
R
5
B
O
C
P
A
Q
C
5
B
over
For problems 12-15, determine if the given information allows you to conclude that the two triangles shown
must be congruent. If so, write the congruence statement and name the postulate used. Be sure to mark any
needed, additional congruent angles and congruent sides on the figure. If no triangles are congruent, write
none.
B
12.
A
13.
B
A
C
C
D
E
D
Given: BD  AC , D is the midpoint of AC
Given: AE // BD , BE // CD , B is the midpoint of AC
14.
15.
A
B
A
D
B
C
E
Given: AB  BD, DE  BD
C is the midpoint of BD
C
Given: AB // CD , BC  AD
D