Free Printable Geometry Midterm

1.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

2.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

3.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

4.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

5.

Suppose AC = 48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

6.

Find the length indicated.

(a)

7.

Using the diagram, name four collinear points.

(a)

8.

Using the image, name a line that contains the points H and K.

(a)

9.

Using the image, name a plane containing point A.

(a)

10.

Using the image, give an example of three non-collinear points.

(a)

11.

Based on the image, are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

12.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

13.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

14.

Find the midpoint: $\left(2,-7\right),\left(10,1\right)$

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

15.

∠ABC and ∠CBD are supplementary angles, m∠ABC = (5x + 12)° and m∠CBD = (13x + 24)°. Find x.

(a)

16.

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

a)

(-19,15)

b)

(5,-6)

c)

(-4,-3)

d)

(6,2)

17.

Find the other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8)

a)

(3,-4)

b)

(-8,16)

c)

(2,3)

d)

(5,9)

18.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

19.

Find m∠A.

a)

25°

b)

30°

c)

35°

d)

90°

20.

a)

50°

b)

58°

c)

115°

d)

226°

21.

If m∠ABC = 103° find x.

(a)

22.

Given m∠QST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

23.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

24.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

supplementary

25.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

supplementary

26.

What is the measure of ∠2?

a)

$58^o$

Vertical angles

b)

$122^o$ supplementary

c)

$58^o$

Alternate Interior

d)

$122^o$

Alternate exterior

27.

What is the measure of ∠7?

a)

$58^o$

b)

$122^o$

c)

68

d)

128

28.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

29.

Given the two lines are parallel

Find the value of x.

a)

x = 133

b)

x = 47

30.

Find y.

a)

50

b)

130

31.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

32.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

33.

What is the Angle Relationship

a)

Alternate

b)

Vertically opposite

c)

Corresponding

d)

Co-interior

34.

WHAT IS THE VALUE OF X?

a)

-7

b)

9.4

c)

7

d)

-9.4

35.

Find the measure of x

a)

35

b)

60

c)

85

d)

120

36.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

37.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

38.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

39.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

40.

Find the slope:
(-4, 3) and (-4, -7)

a)

5/4

b)

-10/8

c)

Zero

d)

Undefined

41.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

42.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

43.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

44.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

45.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

46.

In an ______________ triangle, all three angles are less than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

47.

In a ____________ triangle one angle is exactly 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

48.

In an ___________ triangle one angle is greater than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

49.

What kind of triangle is this? Name it for its angles.

a)

acute

b)

obtuse

c)

right

d)

equilangular

50.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

51.

A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

52.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

53.

If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?

a)

Acute Isosceles

b)

Acute Scalene

c)

Obtuse Scalene

d)

Obtuse Isosceles

54.

What is the value of x?

a)

130

b)

65

c)

123

d)

61.5

55.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

56.

Find the measure of each angle indicated.

a)

40°

b)

33°

c)

30°

d)

29°

57.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

58.

What is the measure of $\angle3$ in the triangle shown?

a)

$147\degree$

b)

$57\degree$

c)

$33\degree$

d)

$53\degree$

59.

This is . . . (chose two)

a)

a scalene triangle

b)

an obtuse triangle

c)

an equilateral triangle

d)

an acute triangle

60.

Solve for x.

a)

6

b)

5

c)

-11

d)

4

61.

Solve for x.

a)

7

b)

9

c)

-11

d)

-8

62.

Which segment is the base?

a)

Segment AB

b)

Segment BC

c)

Segment AC

63.

Which angle is the vertex angle?

a)

<C

b)

<A

c)

<B

64.

If an isosceles triangle has a base angle measuring 40°, then what measure is the VERTEX angle?

a)

120°

b)

100°

c)

40°

d)

80°

65.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

66.

Find x

a)

90

b)

45

c)

22

d)

35

67.

Find x

a)

10

b)

32

c)

116

d)

16

68.

Solve for the value of X.

X= (a)

69.

Solve for x.

a)

72^o

b)

144^o

c)

46^o

d)

36^o

70.

What should be the value of x, y and z?

a)

x=43°

y=10

z=10

b)

x=43°

y=10

z=5

c)

x=47°

y=10

z=5

d)

x=47°

y=10

z=10

71.

What type of triangle is shown?

a)

Isosceles Triangle

b)

Equilateral Triangle

72.

Use the picture to answer the question.

a)

76

b)

28

c)

152

d)

56

73.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

74.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

75.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

76.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

77.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

78.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

79.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

80.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

81.

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

a)

SSS

b)

SAS

c)

HL

d)

Not Possible

82.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

83.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

84.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

85.

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

a)

SAS

b)

SSA

c)

HL

d)

Not Congruent

86.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

87.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

88.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

89.

$\Delta ZXY\$ is cut by perpendicular bisector VT. If XT=8, what is the measure of TY?

a)

8

b)

16

c)

10

d)

20

90.

Round answer to nearest whole number.

a)

29

b)

38

c)

22

d)

47

91.

if $m\angle VTY$ is 7x+20, what is the value of x?

a)

13

b)

10

c)

20

d)

15

92.

FT is a perpendicular bisector of $\Delta PIG.$ Solve for x

a)

6.58

b)

18.75

c)

3.12

93.

Solve for x

a)

7

b)

3

c)

10

d)

6

94.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

95.

$\angle WYZ$ Find the measure of

(a)

96.

$\overline{SP}$ is an angle bisector. $m\angle1=40$ . What is the $m\angle UST$ ?

a)

50

b)

40

c)

80

d)

45

97.

$\overline{SP}$ is an angle bisector. If $m\angle RSP\ =\ 3x$ and $m\angle RSQ\ =\ 9x\ -\ 120$ . Find x.

a)

45

b)

40

c)

80

d)

90

98.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

99.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

100.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

101.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

102.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

103.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

104.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

105.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

106.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

107.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

108.

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

a)

angle bisector

b)

altitude

c)

altitude

d)

median

109.

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

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

110.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

111.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

112.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

113.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

114.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

115.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

116.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

117.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

118.

Will these line segments form a triangle?

a)

yes

b)

no

119.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

120.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

121.

side lengths of 4,4,4 form a triangle

a)

True

b)

False

122.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

more than 3 but less than 11

b)

more than 11 but less than 3

c)

less than 3 but more than 11

123.

Compare $m\angle ACD\ and\ m\angle GDE$

a)

$m\angle ACB\ >\ m\angle GDE$

b)

$m\angle ACD\ <\ m\angle GDE$

c)

$m\angle ACB\ =\ m\angle GDE$

d)

$\angle ACB\ \cong\ \angle GDE$

124.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

125.

Find the range of possible values for x.

a)

$\frac{7}{2}<x<24$

b)

$x<6$

c)

$24<x$

d)

$\frac{11}{2}<x<6$

126.

Find the range of possible values of x.

a)

$\frac{5}{3}<x<8$

b)

$-\frac{3}{2}<x>8$

c)

$\frac{32}{3}<x<27$

d)

$27<x<37$

127.

Find the range of possible values for x.

a)

$2\ <x<6$

b)

$6<x<15\ \frac{1}{3}$

c)

$6<x<22$

d)

$2<x<22$

128.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

129.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

Geometry Midterm

Total questions: 129

Worksheet time: 4hrs 11mins

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