Free Printable MIDTERM EXAMINATION: PLANE AND SOLID GEOMETRY

1.

It is a segment drawn from a vertex that bisects that vertex angle.

a)

Median

b)

Angle Bisector

c)

Altitude

d)

hypotenuse

2.

Find x.

a)

72

b)

67

c)

65

d)

54

3.

Determine x

a)

93

b)

71

c)

81

d)

55

4.

Find the value of x.

a)

1

b)

4

c)

5

d)

8

5.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

6.

Find the area of the figure:

a)

30 ft²

b)

60 ft²

c)

16 ft²

d)

36 ft²

7.

What type of triangle is this?

a)

right

b)

scalene

c)

equilateral

d)

isosceles

8.

Find the area of this triangle.

a)

25

b)

15.59

c)

13.5

9.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

10.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

11.

Which one is this?

a)

HL

b)

SSS

c)

SAS

d)

ASA

12.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

13.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

14.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

15.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

16.

It is the longest side of a right triangle

a)

Hypotenuse

b)

Median

c)

Base

d)

Altitude

17.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

18.

What is the formula for finding the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

19.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

20.

Find the geometric mean for 5 and 25.

a)

5√5

b)

5

c)

5√2

d)

2√5

21.

Solve for x

a)

x = 5√2

b)

x = 5√3

c)

x = 5√6

d)

x = 5

22.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

23.

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

a)

180

b)

90

c)

60

d)

360

24.

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.

25.

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

a)

A. Centerpoint

b)

B. Orthocenter

c)

C. Centroid

d)

D. Midpoint

26.

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

a)

Centerpoint

b)

B. Orthocenter

c)

C. Centroid

d)

D. Altitude-point

27.

10. What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

28.

Is this a right triangle?

a)

Yes

b)

No

29.

Is this a right triangle?

a)

Yes

b)

No

30.

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

a)

Yes

b)

No

31.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

32.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

33.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

34.

What does the image show?

a)

a ray

b)

a line

c)

parallel lines

d)

line segment

35.

What does the image show?

a)

a line

b)

a line segment

c)

a ray

d)

a point

36.

What does the image show?

a)

a ray

b)

a line

c)

a line segment

d)

a point

37.

A _____ is straight and extends in both directions forever.

a)

point

b)

line

c)

line segment

d)

ray

38.

What is this?

a)

Line

b)

Ray

c)

Line segment

d)

Angle

39.

What is a point?

a)

a straight path

b)

an exact location

c)

endless flat surface

d)

lines that cross

40.

What is the name of the GREEN line?

a)

RT

b)

RX

c)

TX

41.

.

What is the name of this ray?

a)

Ray AB

b)

Ray BA

c)

Ray ABC

d)

Ray AC

42.

What is a name for this line?

a)

b)

c)

d)

43.

What is a line segment?

a)

Part of a line with 2 endpoints

b)

Part of a line that has 1 endpoint

c)

Part of a line with 0 endpoints

d)

Part of a line with 5 endpoints

44.

A straight path of points that goes on forever is called:

a)

point

b)

ray

c)

line

d)

line segment

45.

A part of a line where it starts at one end point in one direction and goes on forever in the other direction is called:

a)

point

b)

ray

c)

line

d)

line segment

46.

A part of a line between two points that has two end points is called:

a)

point

b)

ray

c)

line

d)

line segment

47.

This is a

a)

point

b)

ray

c)

line

d)

line segment

48.

This is a

a)

point

b)

ray

c)

line

d)

line segment

49.

This is a

a)

point

b)

ray

c)

line

d)

line segment

50.

Name the figure using geometric notation.

a)

$\leftrightarrow FG$

b)

$\overline{FG}$

c)

$\overrightarrow{FG}$

51.

Name the figure using geometric notation.

a)

\overrightarrow{SR}

b)

$\overline{RS}$

c)

$\overrightarrow{RS}$

52.

Name the figure using geometric notation.

a)

$\overline{JK}$

b)

$\leftrightarrow JK$

c)

$\overrightarrow{KJ}$

53.

What kind of lines are these?

a)

Parallel

b)

Perpendicular

c)

Intersecting

54.

What kind of lines are these?

a)

Parallel

b)

Perpendicular

c)

Intersecting

55.

What kind of angle is this?

a)

acute

b)

right

c)

obtuse

56.

What type of angle is this?

a)

acute

b)

obtuse

c)

right

57.

What type of angle is this?

a)

right

b)

obtuse

c)

acute

58.

What type of angles does this triangle have?

a)

right

b)

obtuse

c)

acute

59.

What type of angles does the rectangle have?

a)

right

b)

obtuse

c)

acute

60.

a)

F

b)

G

c)

H

d)

J

e)

K

61.

a)

A

b)

B

c)

C

d)

D

e)

E

62.

a)

A

b)

B

c)

C

d)

D

e)

E

63.

a)

F

b)

G

c)

H

d)

J

e)

K

64.

A geometric figure consisting of two non-collinear rays with a common endpoint called vertex.

a)

Triangle

b)

Angle

c)

Rays

d)

Circle

65.

What is the vertex of the angle 1?

a)

$\angle\ A$

b)

$\angle\ B$

c)

$\angle\ D$

d)

$\angle\ C$

66.

The angle 1 can also be named ___.

a)

$\angle\ DAC$

b)

$\angle\ BAC$

c)

$\angle\ CAD$

d)

$\angle\ DAB$

67.

$\angle\ DAB$ can be named ___.

a)

$\angle\ 1$

b)

$\angle\ 2$

c)

$\angle\ A$

d)

$\angle\ C$

68.

Alternate Interior angle

a)

$\angle\ 4\ and\ \angle\ 5\$

b)

$\angle\ 3\ and\ \angle\ 8$

c)

$\angle\ 6\ and\ \angle\ 4$

d)

$\angle\ 3\ and\ \angle\ 5$

69.

Alternate exterior angles

a)

$\angle\ 1\ and\ \angle\ 8$

b)

$\angle\ 3\ and\ \angle\ 6$

c)

$\angle\ 4\ and\ \angle5$

d)

$\angle\ 1\ and\ \angle\ 7$

70.

Vertical angles

a)

$\angle\ 3\ and\ \angle\ 6$

b)

$\angle\ 4\ and\ \angle5$

c)

$\angle\ 1\ and\ \angle\ 8$

d)

$\angle\ 5\ and\ \angle\ 8$

71.

Corresponding angles

a)

$\angle\ 1\ and\ \angle\ 8$

b)

$\angle\ 2\ and\ \angle\ 7$

c)

$\angle\ 3\ and\ \angle\ 6$

d)

$\angle\ 4\ and\ \angle\ 8$

72.

Supplementary Angles

a)

$\angle\ 2\ and\ \angle\ 5$

b)

$\angle\ 1\ and\ \angle\ 2$

c)

$\angle\ 2\ and\ \angle\ 3$

d)

$\angle\ 1\ and\ \angle\ 3$

73.

The following are the interior angles, except

a)

$\angle\ 1$

b)

$\angle\ 2$

c)

$\angle\ 3$

d)

$\angle\ 4$

74.

The following are the exterior angles, except

a)

$\angle\ 4$

b)

$\angle\ 5$

c)

$\angle\ 2$

d)

$\angle\ 6$

75.

A union of three segments joined together at their endpoints.

a)

Triangle

b)

Angle

c)

Square

d)

Plane

76.

Sum of interior angle of angles of a triangle

a)

180

b)

90

c)

160

d)

360

77.

The following are the types of triangle base on sides, except

a)

Equilateral

b)

Equiangular

c)

Scalene

d)

Isosceles

78.

A triangle having all sides of different length

a)

Isosceles

b)

Scalene

c)

Equilateral

d)

Equiangular

79.

A triangle having all the three sides of equal length

a)

Equilateral

b)

Scalene

c)

Isosceles

d)

Acute

80.

A triangle having two sides are equal length

a)

Equilateral

b)

Obtuse

c)

Scalene

d)

Isosceles

81.

Properties of Inequalities are the following, except

a)

Trichology

b)

Multiplication

c)

Transitive

d)

Division

82.

Property of every x and y, only one of the following conditions holds the $<,\ +\ ,\ >$

a)

Trichology

b)

Trichotomy

c)

Triopoly

d)

Tribology

83.

A property if $a\ <\ b,\ then\ a\ +\ c\ <\ b\ +\ c$

a)

Addition

b)

Multiplication

c)

Transitive

d)

Division

84.

A property if $a\ <\ b\ and\ b\ <\ c\ then\ a<c$

a)

Addition

b)

Multiplication

c)

Transitive

d)

Division

85.

A property if $a\ <\ b,\ then\ ac\ <\ bc$

a)

Addition

b)

Multiplication

c)

Transitive

d)

Division

86.

It is the statement about the undefined terms or other geometric ideas, accepted as true without any proof.

a)

Theorem

b)

Postulate

c)

Proving

d)

Property

87.

Statements that need proof.

a)

Theorem

b)

Postulate

c)

Proving

d)

Property

88.

The following are the parts of a line, except

a)

point

b)

line segment

c)

ray

d)

dimensions

89.

Part of a line that has defined endpoints.

a)

Ray

b)

Point

c)

Line Segment

d)

Angle

90.

It does not have any width, length or depth, single capital letter is used to name

a)

Point

b)

Ray

c)

Line Segment

d)

Angle

91.

Find the measure of $\angle\ 1$ .

a)

$104\degree$

b)

$76\degree$

c)

$64\degree$

d)

$116\degree$

92.

Find the measure of $\angle\ 2.$

a)

104°

b)

76°

c)

64°

d)

116°

93.

Find the measure of $\angle\ 3.$

a)

$76\degree$

b)

$104\degree$

c)

$64\degree$

d)

$116\degree$

94.

Find the measure of $\angle\ 4$

a)

104°

b)

76°

c)

64°

d)

116°

95.

Find the measure of $\angle\ 6.$

a)

$76\degree$

b)

$104\degree$

c)

$64\degree$

d)

$116\degree$

96.

Find the measure of $\angle\ 7.$

a)

76°

b)

104°

c)

64°

d)

116°

97.

It is a part of a line that extends without end in one direction. It starts from one endpoint and extents forever in one direction.

a)

Plane

b)

Ray

c)

Point

d)

Line Segment

98.

Points that lie in the same plane.

a)

Coplanar

b)

Collinear

c)

Non- Collinear

d)

Non- Coplanar

99.

All points on the same line are ___.

a)

Collinear

b)

Coplanar

c)

Non- Collinear

d)

Non- Coplanar

100.

Points that do not lie in the same plane.

a)

Coplanar

b)

Collinear

c)

Non-Collinear

d)

Non-Coplanar

MIDTERM EXAMINATION: PLANE AND SOLID GEOMETRY

Total questions: 100

Worksheet time: 1hrs 17mins

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