Free Printable (HGEO) Mid-Chapter 5

1.

What segment is parallel to EF?

a)

Segment PM

b)

Segment MN

c)

Segment NP

d)

Segment FG

2.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

3.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

4.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

5.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

6.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

7.

IJ is a midsegment of triangle MLN. What is the length of segment IJ?

a)

9

b)

6

c)

18

d)

0

8.

Name a midsegment of ⌂ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

9.

Name a segment that has the same length as segment BD

a)

segment BE

b)

segment DE

c)

segment AD

d)

segment AC

10.

name a segment that has half the length of segment AC

a)

segment AD

b)

segment BE

c)

segment DE

d)

segment BC

11.

Does GH = 1/2DF?.

a)

no

b)

yes

12.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

13.

Find the missing length.

a)

12

b)

6

c)

20

d)

24

14.

Find the value of x.

a)

x = 3

b)

x = 4

c)

x = 7

d)

x = 5

15.

If BD=16, EA=5 and FC=3, what is the perimeter of triangle ABC (add all sides of big triangle)

a)

48

b)

16

c)

27

d)

29

16.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

17.

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

18.

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

19.

Which of the images represents the Circumcenter of a Triangle

a)

First

b)

Second

c)

Third

20.

Which of the images represents the Incenter of a Triangle

a)

First

b)

Second

c)

Third

21.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

22.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

23.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

24.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

25.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Center-center

26.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

neither

d)

Pokecenter

27.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

28.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

29.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

30.

If m∠CAP = 34° , find ∠CAB.

a)

17°

b)

34°

c)

68°

d)

90°

31.

Find the length of TU

a)

15

b)

12

c)

26

d)

13

32.

1. If m<LJK = 28°, what is m<MLK?

a)

56

b)

112

c)

62

d)

124

33.

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

a)

7

b)

14

c)

10.5

d)

28

34.

1. Point Z is the circumcenter of ΔRST. What is TZ?

a)

3

b)

5

c)

4

d)

6

35.

If m<CAP=34⁰ , find m<CAB.

a)

17⁰

b)

34⁰

c)

68⁰

d)

90⁰

36.

Find the measure of $\angle NJZ$

a)

38

b)

90

c)

52

d)

128

37.

Find the measure of $\overline{QA}$

a)

4

b)

-4

c)

16

d)

28

38.

Find the measure of $\angle MFZ$

a)

10

b)

19

c)

21

d)

32 $\frac{1}{3}$

39.

SCULPTURE A triangular entrance way has walls with corner angles of 50°, 70°, and 60°. The designer wants to place a tall bronze sculpture on a round pedestal in a central location equidistant from the three walls. How can the designer find where to place the sculpture?

a)

Find the circumcenter, where the three perpendicular bisectors meet.

b)

Find the incenter, where the three angle bisectors meet.

c)

Draw the perpendicular bisector of the longest side.

d)

Draw the angle bisector of the greatest angle.

40.

Find the measure of CP

(a)

41.

$\angle WYZ$ Find the measure of

(a)

42.

Find the measure of QP

(a)

43.

Find HG

a)

28

b)

14

c)

41

d)

7

44.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

45.

Find x, then the measure of AC

a)

x=2, AC=8

b)

x=2, AC=16

c)

x=4, AC=8

d)

x=4, AC=16

46.

Find the value of x.

a)

1/2

b)

1

c)

2

d)

Cannot be determined.

47.

Find $m\angle HIK.$

a)

5

b)

15

c)

10

d)

Cannot be determined.

48.

Find LO.

a)

7

b)

14

c)

28

d)

Cannot be determined.

49.

Find x, then the measure of JK

a)

x=10, JK=50

b)

x=10, JK=100

c)

x=15, JK=100

d)

x=15, JK=50

50.

Find x, then the measure of AD

a)

x=5, AD =36

b)

x=5, AD =16

c)

x=1, AD =8

d)

x=1, AD =4

51.

Find x

a)

6

b)

-6

c)

2

d)

-2

52.

Fill in the blank:

A point that is the same distance from two figures is ___________________ from from the two figures.

a)

Equidistant

b)

Congruent

c)

Vertical

d)

Corresponding

53.

Fill in the blank:

A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment.

a)

endpoint

b)

corner

c)

midpoint

d)

side

54.

A ray that divides an angle into two congruent angles is called .............

a)

perpendicular bisector

b)

angle bisector

c)

vertex

d)

divider

55.

Identify the perpendicular bisector.

a)

$\overline{TP}$

b)

$\overline{RS}$

c)

$\overline{TR}$

d)

$\overline{ST}$

56.

Is $\overline{PQ}$ a perpendicular bisector of $\overline{RS}$ ?

a)

No, $\overline{PQ}$ does not pass through the midpoint of $\overline{RS}$

b)

No, $\overline{PQ}$ is not perpendicular to $\overline{RS}$

c)

Yes, $\overline{PQ}$ is a perpendicular bisector of $\overline{RS}$

d)

Cannot be determined

(HGEO) Mid-Chapter 5

Total questions: 56

Worksheet time: 1hrs 15mins

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