Download 8.7 Congruent Triangles and Properties of Parallelograms

8.7 Congruent Triangles and Properties of Parallelograms
Understand definitions
1.
2.
3.
4.
The sum of all of the angles of a triangle equal to _______________.
The sum of all of the angles of a parallelogram equal to ______________.
A diagonal of a parallelogram determines two _______________ triangles.
Opposite sides of a parallelogram are _______________.
Congruent triangles
5. If △ABC ≌ △ DEF. List the corresponding angles.
6. If △PQR ≌ △ STV. List the corresponding sides.
7. Identify the property for which the given triangles are congruent. SAS, SSS, ASA.
A.
B.
C.
D.
3
5
4
3
5
4
8. Identify congruent triangles.
A
C
8._______________
B
D
9. Identify congruent triangles.
9._______________
Q
T
S
U
10. Identify corresponding angles for figure in exercise 4.
10._______________
11. Identify corresponding angles for figure in exercise 5.
11._______________
Use properties of parallelograms to find length of sides and angle measures
12.
Find the measures of the other angles.
B
12._______________
C
46
A
13.
D
Find the measure of the other sides.
8
S
R
13._______________
12
P
Q
14. If the measure of MN=1.2 find the measure of PO.
M
P
N
O
14._______________
15. Find the measure of angle E.
15._______________
D
E
60
C
F
16. Find the length of all of the sides of the parallelogram with perimeter 13.
A
B
16._______________
2.5
C
D
17. Find the length of all of the sides of the parallelogram with perimeter 22.
K
N
M
O
17._______________
18. Find the length of each diagonal. AE = 12 and EB = 21.
A
18._______________
B
E
D
C
19. Find the length of each diagonal. SR= 13.5 and QR =14.25.
Q
P
R
S
T
19._______________