Geometry
Ch. Sheet
Name______________________ Per________
Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate you would use. (SSS, SAS, ASA, AAS, HL, or not )
1. _____________________ 2. _____________________ 3. _____________________
4. _____________________
Δ XVY & Δ ZVW Δ MPN & Δ QPR Δ BCE & Δ DCE
X
Y
V
Z
W
M
Q
P
R
N
D
E
C
7. Identify all pairs of congruent corresponding angles and corresponding sides.
E
B
Angles: D _________ Sides: DE __________
D
C
B
DEC _________ CD __________
ECD _________ EC __________
8. Write a congruency statement for the Triangles above: _ ______________ __ ______________
9-11: Find the values of x and y
9. x = ________, y = _______ 10. x = ________, y = _______ 11. x = ________, y = _______
60 y x
12. Quadrilateral ABCD Quadrilateral EFHG
A
100
17
B
97
H 6 J y x
50
75
G
25 x a = ________ b = ________ c = ________ y
D
4a 2 b+9
K
3b-6
47 C c
10
F m+2
4
2x+8
E m = _______
C = ______
13. .
Find x and .
= ___________
14. Complete the proof.
1._________________________________
2._________________________________
3._________________________________
4._________________________________
5._________________________________
6._________________________________
15. Classify each triangle by its angle measures:
16. Classify each triangle by its side lengths:
17.
Find the value of x and all of the side lengths.
18.
Find the value of x and the measure of
ACB.
19.
Find the measure of < B.
20.
Find the measure of < HEF.