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Topic 5 Relationships in Triangles

Total questions: 40

Worksheet time: 40mins

Name
Class
Date
1.

Which point of concurrency is always inside the triangle?

a)

Centroid and Circumcenter

b)

Orthocenter and Incenter

c)

Incenter and Centroid

d)

Circumcenter and Incenter

2.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

3.

Which point of concurrency is always the midpoint of the hypotenuse in a right triangle?

a)

Circumcenter

b)

Orthocenter

c)

Centroid

d)

Incenter

4.

Which point of concurrency is equidistant from every vertex?

a)

Centroid

b)

Circumcenter

c)

Orthocenter

d)

Incenter

5.

Which point of concurrency is equidistant from every side?

a)

Circumcenter

b)

Centroid

c)

Orthocenter

d)

Incenter

6.

The three perpendicular bisectors of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

7.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

8.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
9.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
10.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
11.
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
12.
If D is the orthocenter, what type of segments are drawn?
a)
medians
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
13.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

14.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

15.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
16.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
17.
Which of these is called the center of gravity.
a)
orthocenter
b)
incenter
c)
circumcenter
d)
centroid
18.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

19.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

20.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

21.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

22.
Is DE 1/2 the length of BC?
a)
Yes
b)
No
23.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
24.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
25.
What is the measure of angle a?
a)
50
b)
80
c)
130
d)
Cannot Determine
26.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
27.

Point T is the incenter of the triangle. Find the length of RU to the nearest tenth.

a)

20.1

b)

12

c)

17.3

d)

18.4

28.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
29.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
30.
13. Which line is an angle bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
31.
14. Which line is a perpendicular bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
32.
17.  What type of line is shown by CD
a)
Altitude
b)
perpendicular bisector
c)
median
d)
angle bisector
33.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
34.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
35.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Centroid

d)

Incenter

36.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

37.

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

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

38.

The circumcenter and orthocenter can be outside the triangle if the triangle is ...

a)

obtuse

b)

acute

c)

iscolese

d)

right

39.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

40.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

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