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GEOMETRY - Centroids, Medians and Altitudes, OH MY!

Total questions: 26

Worksheet time: 1hrs 1mins

Name
Class
Date
1.

GT is a Median: find FE

a)

16

b)

32

c)

11

d)

26

2.

KL is a Median: Find LJ

a)

6

b)

5

c)

3

d)

9

3.
a)

11

b)

22

c)

5.5

d)

3.67

4.

Which of the following describes a median of a triangle?

a)

middle of the triangle

b)

a segment that starts at a vertex and connects to the midpoint of the opposite side

c)

a segment that connects the midpoints of two sides of a triangle

d)

a segment that connects the vertex to the opposite side at 90 degrees

5.

The altitude is __________to the side of a triangle.

a)

parallel

b)

adjacent

c)

halfway

d)

perpendicular

6.

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

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

7.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

8.

HK is an altitude in ΔGHI.

What is the measure of ∠HKG?

a)

60°

b)

180°

c)

90°

d)

360°

9.

If S is the incenter, what type of segments are drawn? (check your notes)

a)

medians

b)

angle bisectors

c)

perpendicular bisectors

d)

altitudes

10.

If D is the orthocenter, what type of segments are drawn?

a)

medians

b)

altitudes

c)

angle bisectors

d)

perpendicular bisectors

11.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
12.

Based on the markings, line ED represents a...

a)

angle bisector

b)

median

c)

altitude

d)

perpendicular bisector

13.

Based on the markings, segment BH represents a...

a)

perpendicular bisector

b)

altitude

c)

angle bisector

d)

median

14.

Based on the markings, segment BG represents a...

a)

altitude

b)

median

c)

perpendicular bisector

d)

angle bisector

15.

Solve for x.

a)

16

b)

20

c)

22

d)

24

16.

Given TO =7a+5 and OR = 8a, find the value of "a" and the length of TR

a)

a=5, TR=40

b)

a=4, TR=70

c)

a=5, TR=80

d)

a=4, TR=81

17.

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.

Find the length of YZ.

a)

30

b)

15

c)

5

d)

7.5

18.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______
a)
6
b)
9
c)
1.5
d)
3
19.

The figure is an example of a(n) ...

a)

angle bisector

b)

dotted line theorem

c)

altitude

d)

median

20.

In ΔXYZ, YB, XC, and ZA are medians.

If YC= 10, then ZC = _______

a)

15

b)

5

c)

20

d)

10

21.

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

a)

A. Incenter

b)

B. Orthocenter

c)

C. Centroid

d)

D. Circumcenter

22.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______
a)
2.7
b)
12
c)
5
d)
4
23.

Segment VX is a(n) ____________.

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Median

d)

Altitude

24.

Segment TS is a(n) ____________.

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Median

d)

Altitude

25.

HK is an altitude in ΔGHI.

Find the value of x.

a)

90

b)

21

c)

24

d)

43.5

26.

S is the incenter, which is the center of the circumscribed circle to triangle ABC.

a)

TRUE

b)

FALSE