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Worksheets

Special Segments of Triangles

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
2.
Does GH = 1/2DF?.
a)
no
b)
yes
3.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
4.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
5.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
6.
Find the missing length.
a)
x = 12
b)
x = 11
c)
x = 15
d)
x = 9
7.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

8.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

9.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

10.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

11.

The three altitudes of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

12.

The three medians of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

13.

The three perpendicular bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

14.

The three angle bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

15.

It is equidistant from the three vertices of the triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

16.

It is equidistant from the three sides of the triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

17.

It divides each median into two sections at a 2:1 ratio.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

18.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
19.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

20.
HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.
a)
50
b)
16
c)
21
d)
not enough information
21.

G is the incenter. Find m∠ABG. If your answer is a decimal, round to the nearest tenth.

(a)  

22.

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

a)

19

b)

12

c)

14

d)

10

23.
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
24.
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
25.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12