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Worksheets

The Medians and Altitudes of Triangle

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Identify AD as a median, altitude, neither, or both according to what can be proved.

a)

Median

b)

Altitude

c)

Neither

d)

Both

2.

Which of the following segments represents a median?

a)

BX

b)

AZ

c)

AC

d)

BZ

3.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

Orthocenter

c)

Centroid

d)

Midpoint

4.

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

5.

In triangle GIK, ML = 7. Find IM.

a)

7

b)

14

c)

28

d)

21

6.

BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

7.
a)

11

b)

22

c)

5.5

d)

3.67

8.

Given segment AM is a median in ΔABC. Find the length of segment BC.

a)

34

b)

6

c)

17

d)

27

9.

Identify AD as a median, altitude, neither, or both according to what can be proved.

a)

Median

b)

Altitude

c)

Neither

d)

Both

10.

Identify AD as a median, altitude, neither, or both according to what can be proved.

a)

Median

b)

Altitude

c)

Neither

d)

Both

11.

Identify AD as a median, altitude, neither, or both according to what can be proved.

a)

Median

b)

Altitude

c)

Neither

d)

Both

12.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

13.

Given SA is the altitude, which of the following statements is false?

a)

∠SAR = 90

b)

∠RAS ≅ ∠SAT

c)

∠SAT = 90

d)

∠TSR = 90

14.

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. 

15.

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. 

16.

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

17.

Fill in the blank.
Altitudes hit the ground at _______ degrees.

a)

180

b)

90

c)

60

d)

360

18.

What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

19.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

20.

4. Name of the segment of a triangle drawn from any vertex to the midpoint of the opposite side?

a)

altitude

b)

perpendicular bisector

c)

median

d)

midsegment