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Triangle Properties and Attributes

Total questions: 36

Worksheet time: 2hrs 49mins

Name
Class
Date
1.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

2.

Find AC.

a)

AC = 5

b)

AC = 3

c)

AC = 27

d)

AC = 10

3.

Find BC.

a)

BC = 14

b)

BC = 1

c)

BC = 21

d)

BC = 7

4.

Find the measure of angle CAD.

a)
b)
c)
d)
5.

Find BD.

a)

BD = 20

b)

BD = 2

c)

BD = 4

d)

BD = 10

6.

Find the measure of angle BAC.

a)
b)
c)
d)
7.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
8.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
9.
What is the length of AB?
a)
4
b)
8
c)
16
d)
24
10.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
11.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
12.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
13.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
14.

H is the circumcenter of triangle BCD. What is the length of GD?

a)

29

b)

26

c)

32

d)

24

15.

H is the circumcenter of triangle BCD. What is the length of BH?

a)

26

b)

32

c)

33

d)

42

16.

Y is the incenter of triangle STU. What is the length of VT?

a)

29

b)

26

c)

25

d)

24

17.

Y is the incenter of triangle STU. What is the length of YW?

Hint: you will have to use pythagorean theorem

a)

19

b)

12

c)

14

d)

10

18.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
19.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
20.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
21.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
22.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
23.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
24.
1.  If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
25.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
26.
Use the Perp Bisector Theorem to find DC
a)
4
b)
1
c)
2
d)
3
27.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

28.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
29.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
30.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
31.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
32.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
33.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
34.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
35.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
36.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C