GPS Geometry Quiz review
Triangle Inequality and Midsegments of Triangles
Is it possible to construct a triangle with the given side lengths?
1. 3, 7, 10
2.
14, 14, 28
3. 17, 12, 13
4.
5, 2, 9
5. 18, 18, 2
6.
0.6, 0.9, 0.5
7. 21, 21, 21
8. Given sides of 30 and 44, which of the following could be the length of the 3rd side?
a) 80
b) 74
c) 12
d) 26
9. Given sides of 17 and 39, Which of the following could NOT be the length of the 3rd side?
a) 50
b) 58
c) 43
d) 39
Write an inequality to represent the possible lengths of the third side of the triangle given the lengths
of the other 2 sides.
10. 7 and 30
11. 14 and 21
12. 37 and 5
13. 61 and 61
14. 1.4 and 3.2
15. 81 and 43
Write the angles in order from least to greatest.
B
16.
9
17
A
C
24
P
17.
25
18
R
Q
30
18.
K
58
52
J
L
66
19.
N
38
O
15
26
P
R
20.
41
9
T
40
S
Write the sides of the triangles in order from least to greatest.
S
21.
70˚
38˚
R
T
W
22.
76˚
52˚
Y
X
23.
F
104˚
39˚
D
E
24.
60˚
G
H
25˚
I
K
25.
M
30˚
L
Given D, E, and F are midpoints of
ABC .
A
D
E
C
F
Find the indicated lengths
26. If DE = 17 then BC =
27. If AB= 46 then DF =
28. If EF=32.5 then AC =
29. If BC=39 then DE =
30. If AD = 15 then AC =
31. If AE= 20 then DF =
32. If m ADE
52 then m ACB
33. If m AED
39 then m ABC
Set up an equation and find the value of x. Then find the indicated measure.
34.
and
35.
and
36. If
and
, find
, find
, find
B