Free Printable Geometry - Sections 6.1-6.3 Review

1.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

2.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

3.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

4.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

5.

This triangle has...

a)

Altitudes

b)

Perpendicular Bisectors

c)

Midsegments

d)

Medians

6.

[Perpendicular Bisectors and Circumcenter]
If AE is 5 and AG is 12, what is GE?

a)

9.9

b)

11

c)

10.1

d)

8

7.

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.

8.

A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.

a)

Perpendicular bisector

b)

Angle bisector

c)

Median

d)

Altitude

9.

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centroid

10.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

11.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

12.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

13.

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

a)

obtuse

b)

acute

c)

iscolese

d)

right

14.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

15.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

16.

If AF = 10x-3, and FC = 8x+3, what is AC?

a)

3

b)

6

c)

27

d)

54

17.

If BC is 18, what is DC?

a)

6

b)

9

c)

12

d)

18

18.

[Perpendicular Bisectors and Circumcenter]

If GC is 11, what is AG?

a)

11

b)

9

c)

cannot determine

d)

5.5

19.

[Perpendicular Bisectors and Circumcenter]

If CG = 4x+3 and AG = 3x+4, what is BG?

a)

14

b)

3

c)

7

d)

3.5

20.

Based on the markings, which segment represents a perpendicular bisector?

a)

Segment BA

b)

Segment CF

c)

Segment DE

d)

segment BG

21.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

22.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

23.

Find BC.

a)

BC = 14

b)

BC = 1

c)

BC = 21

d)

BC = 7

24.

Find the measure of angle CAD.

a)

b)

c)

d)

25.

Find BD.

a)

BD = 20

b)

BD = 2

c)

BD = 4

d)

BD = 10

26.

Find the measure of angle BAC.

a)

b)

c)

d)

27.

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

a)

True

b)

False

28.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

29.

Find AC.

a)

AC = 5

b)

AC = 3

c)

AC = 27

d)

AC = 10

30.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

31.

What center is shown here?

a)

Circumcenter

b)

Incenter

c)

Midsegment

d)

Perpendicular Bisector

32.

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

a)

25

b)

10

c)

29

d)

24

33.

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

a)

19

b)

12

c)

14

d)

10

34.

[Angle Bisectors and Incenter]
If PY is 6 and CY is 8, what is PC?

a)

10

b)

16

c)

24

d)

9

35.

Which of the following describes a median of a triangle?

a)

A. A middle of the triangle.

b)

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

c)

C. A segment that connects two midpoints of two sides.

d)

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

36.

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

a)

A. Centerpoint

b)

B. Orthocenter

c)

C. Centroid

d)

D. Midpoint

37.

AD = 12. Find AG

a)

6

b)

8

c)

18

d)

12

38.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

39.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

40.

If G is the centroid of triangle ABC and AC= 32. Find the length of CE.

a)

16

b)

32

c)

48

d)

Not Enough Information

41.

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

42.

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

43.

BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

44.

Identify the special segment that's pictured:

a)

Altitude

b)

Midsegment

c)

Median

d)

Angle Bisector

45.

A median of a triangle connects the ___________ of a side to the opposite vertex.

a)

midpoint

b)

right angle

c)

end point

d)

angle

46.

a)

9

b)

10

c)

8

d)

12

47.

a)

4

b)

6

c)

12

d)

8

48.

a)

17

b)

27

c)

57

d)

23

49.

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

50.

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

51.

[Median and Centroid]
If LB = 4, what is CL?

a)

4

b)

8

c)

6

d)

10

52.

[Median and Centroid]
If NP = 5, what is CP?

a)

5

b)

8

c)

12

d)

10

53.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

54.

Segment BH is an example of which of the following?

a)

Perpendicular Bisector

b)

Altitude

c)

Median

d)

Midsegment

55.

10. What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

56.

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

a)

180

b)

90

c)

60

d)

360

57.

A segment joining a vertex to the opposite side so that is perpendiuclar to that side.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

58.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

59.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

60.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

61.

Select the triangle that shows the height for the base shown here.

a)

b)

c)

62.

Select the triangle that shows the height for the base shown here.

a)

b)

c)

63.

Select the triangle that shows the height that goes with the base shown here.

a)

b)

c)

64.

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

a)

obtuse

b)

acute

c)

iscolese

d)

right

65.

13. Which line is an altitude?

a)

XY

b)

BY

c)

AZ

d)

XC

66.

Which of the following statements are true?

a)

$\overline{BH}$ is perpendicular to $\overline{AC}$

b)

$m\angle ABH=90\degree$

c)

$\Delta CBH$ is a right triangle

d)

$\overline{AH}\ \cong\overline{HC}$

e)

$m\angle CHB=90\degree$

67.

Given a triangle with vertices R(-1,4), S(5,-2), and T(-1,-6). Find the orthocenter.

a)

(5 , -2)

b)

(-1, -2)

c)

(2, -1)

d)

(3, -2)

Geometry - Sections 6.1-6.3 Review

Total questions: 67

Worksheet time: 17hrs 45mins

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