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Finding Segments in Triangles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What type of special segment is shown?

a)

Altitude

b)

Median

c)

Perpendicular Bisector

d)

Angle Bisector

2.

If AG = 2x + 21 and RE = x + 10.5, 
what is NG?

a)

16

b)

8

c)

26.5

d)

10.5

3.

What is the only special triangle segment that does not have to go through a vertex?

a)

Median

b)

Altitude

c)

Angle Bisector

d)

Perpendicular Bisector

4.

What type of special segment is shown?

a)

Median

b)

Perpendicular Bisector

c)

Angle Bisector

d)

Altitude

5.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

6.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

7.

Identify the special segment that's pictured: 

a)

Altitude

b)

Midsegment

c)

Median

d)

Angle Bisector

8.

Identify the special segment that's pictured: 

a)

Altitude

b)

Perpendicular Bisector

c)

Median

d)

Midsegment

9.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

10.

What type of special segment is shown?

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

11.

Which of the following describes a median of a triangle?

a)

A segment that passes through the middle of the triangle.

b)

A segment with endpoints at the vertex and midpoint of the opposite side.

c)

A segment that connects two midpoints of two sides.

d)

A segment that connects the vertex and the opposite side at 90 degrees. 

12.

Which of the following describes a perpendicular bisector of a triangle?

a)

A segment that is perpendicular to the side of a triangle at its midpoint.

b)

A segment with endpoints at the vertex and midpoint of the opposite side.

c)

A segment that connects two midpoints of two sides.

d)

A segment that connects the vertex and the opposite side at 90 degrees. 

13.

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

14.

Which of the following describes an altitude of a triangle?

a)

A segment that passes through the middle of the triangle.

b)

A segment with endpoints at the vertex and midpoint of the opposite side.

c)

A segment that connects two midpoints of two sides.

d)

A segment that connects the vertex and the opposite side at 90 degrees. 

15.

In which type of triangle is it possible for a special segment to be OUTSIDE of the triangle?

a)

Acute Triangles

b)

Right Triangles

c)

Obtuse Triangles

d)

This never happens.

16.

PQ is the perpendicular bisector of MN. What is QN?

a)

7

b)

14

c)

10.5

d)

28

17.

In Obtuse Triangles, which special segment can be outside of the triangle?

a)

Midsegments

b)

Medians

c)

Altitudes

d)

Perpendicular Bisectors

18.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

19.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

20.

Name the type of segment pictured.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector