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Unit 5 - Relationships in Triangles

Total questions: 30

Worksheet time: 38mins

Name
Class
Date
1.

When SR = 68, what is CA?

a)

34

b)

68

c)

136

d)

17

2.

Find x

a)
x = 15
b)
x = 13
c)
x = 12
d)
x = 11
3.
If BD=16, EA=5 and FC=3, what is the perimeter of triangle ABC (add all sides of big triangle)
a)
48
b)
16
c)
27
d)
29
4.

What is the value of x? #20

HINT: CORRESPONDING ANGLES OF PARALLEL LINES ARE ???

(a)  

5.
What is the measure of angle Y?
a)
60
b)
40
c)
140
d)
100
6.

What is the value of x in order to find the length of VU‾\overline{VU}  

a)

2

b)

24

c)

-2

d)

16

7.
a)

AD = 12, BC = 5

b)

AD = 12, BC = 16

c)

AD = 5, BC = 12

d)

AD = 12, BC = 8

8.

What is the measure of AC‾\overline{AC}  

(a)  

9.

Find the measure of QA‾\overline{QA}  

a)

4

b)

-4

c)

16

d)

28

10.

Find the measure of ∠MFZ\angle MFZ  

a)

10

b)

19

c)

21

d)

32 13\frac{1}{3}  

11.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

12.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

13.

H is the circumcenter. Find HD. If your answer is a decimal, round to the nearest tenth.

(a)  

14.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

15.

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

a)

8.95

b)

9.35

c)

10.25

d)

12.65

16.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
17.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
18.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
19.
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
20.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
21.

X is the centroid of the triangle. If AZ = 24, find AX.

a)

4

b)

8

c)

12

d)

16

22.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

23.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

24.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

25.
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
26.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
27.

Which point of concurrency is equidistant from every vertex?

a)

Centroid

b)

Circumcenter

c)

Orthocenter

d)

Incenter

28.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
29.

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

a)

29

b)

26

c)

25

d)

24

30.

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

a)

26

b)

32

c)

33

d)

42

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