Free Printable Geometry Test Triangle Relationships

1.

Find the missing length.

a)

12

b)

3

c)

24

d)

6

2.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

3.

Name the parallel segment.

a)

WY

b)

YX

c)

WX

d)

PN

4.

What is the measure of angle a?

a)

50

b)

80

c)

130

d)

Cannot Determine

5.

If D and E are Midpoints, then

\overline{DE}

is _______________.

a)

an angle bisector

b)

a perpendicular segment

c)

a median

d)

a midsegment

6.

$\overline{TS}$ is a midsegment of $\Delta GHI$ .
Solve for the value of x.

Remember the formula... 2(midsegment) = opp. side

a)

4

b)

6

c)

8

d)

10

7.

Name a segment that has twice the length of segment $\overline{EC}$ .

a)

$\overline{BC}$

b)

$\overline{BE}$

c)

$\overline{AC}$

d)

$\overline{BD}$

8.

Define: CIRCUMCENTER OF A TRAINGLE

a)

the intersection point of the three perpendicular bisectors of a triangle

b)

when a circle passes through the three vertices of a triangle

c)

the point of intersection of three or more lines

d)

the intersection point of the three angle bisectors of a triangle

9.

Define: INCENTER OF A TRIANGLE

a)

the intersection point of the three angle bisectors of a triangle

b)

when three or more lines intersect at a single point

c)

the intersection point of the three perpendicular bisectors of a triangle

d)

the point of intersection of three or more lines

10.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

11.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

12.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

13.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

14.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

15.

If m∠CAP = 34° , find ∠CAB.

a)

17°

b)

34°

c)

68°

d)

90°

16.

1. If m<LJK = 28°, what is m<MLK?

a)

56

b)

112

c)

62

d)

124

17.

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

a)

7

b)

14

c)

10.5

d)

28

18.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

19.

D is the circumcenter, find ED

a)

15

b)

16

c)

17

d)

19

20.

D is the circumcenter, find EH

a)

15

b)

16

c)

17

d)

19

21.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

22.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

23.

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

a)

angle bisector

b)

altitude

c)

altitude

d)

median

24.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

25.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

26.

The place where all three altitudes meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

27.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

28.

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

a)

8.95

b)

9.35

c)

10.25

d)

12.65

29.

Define: CIRCUMCENTER OF A TRAINGLE

a)

the intersection point of the three perpendicular bisectors of a triangle

b)

when a circle passes through the three vertices of a triangle

c)

the point of intersection of three or more lines

d)

the intersection point of the three angle bisectors of a triangle

30.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

31.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

32.

D is the circumcenter, find ED

a)

15

b)

16

c)

17

d)

19

33.

D is the circumcenter, find DG

a)

15

b)

16

c)

17

d)

19

34.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

35.

D is the circumcenter, find EH

a)

15

b)

16

c)

17

d)

19

36.

Z is the circumcenter of triangle TUV. Find WV.

Hint: you will have to use pythagorean theorem

a)

12.6

b)

13.9

c)

14.7

d)

16.4

37.

1. If m<LJK = 28°, what is m<MLK?

a)

56

b)

112

c)

62

d)

124

38.

X is the centroid of the triangle. If BX = 8, find BY.

a)

4

b)

8

c)

12

d)

16

39.

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

a)

3

b)

6

c)

9

d)

12

40.

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

Geometry Test Triangle Relationships

Total questions: 40

Worksheet time: 10hrs 0mins

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