Free Printable Geometry (Semester 1 Test)

1.

A branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.

a)

Algebra

b)

Geometry

c)

Trigonometry

d)

Calculus

2.

If the measure of one acute angles of a right triangle is 54°, what is the measure of the other acute angle?

a)

16*

b)

26*

c)

36*

d)

46*

3.

When two parallel lines are cut by a transversal, corresponding angles are ________________.

a)

supplementary

b)

adjacent

c)

complementary

d)

congruent

4.

In the plane figure shown, ∠1 and ∠2 are:

a)

nonadjacent angles

b)

complementary angles

c)

vertical angles

d)

supplementary angles

5.

If EB bisects ∠AEC, what is the measure of ∠CEB?

a)

45^o

b)

90^o

c)

125^o

d)

180⁰

6.

If m ∠1 = 32° and m ∠CED = 58°, then ∠1 and ∠CED are ___________.

a)

vertical angles

b)

complementary angles

c)

linear pair

d)

supplementary angles

7.

If the measure of ∠DEC = 35°, what is the measure of ∠AED?

a)

55^o

b)

145^o

c)

125^o

d)

135^o

8.

Lines j and k are parallel and cut by the transversal line t, then ∠1 is congruent to:

a)

∠4

b)

∠2

c)

∠6

d)

∠5

9.

If j ⎢⎢k, ∠3 and ∠5 are examples of ____________

a)

alternate interior angles

b)

alternate exterior angles

c)

corresponding angles

d)

vertical angles

10.

Name a pair of corresponding angles

a)

∠ 2 and ∠ 6

b)

∠ 2 and ∠ 8

c)

∠ 4 and ∠ 8

d)

∠ 1 and ∠ 8

11.

Given ∠B≅∠D and BC ≅ DC, which postulate can be used to prove that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

12.

Which triangle congruence theorem can be used to prove that the triangles are congruent if the 3 sides of the first triangle correspond to the 3 sides of the other triangle?

a)

ASA

b)

AAS

c)

SAS

d)

SSS

13.

Use the congruency statement to answer the following:

Triangle EFI is congruent to triangle HGI

∠F = ___

a)

∠G

b)

∠H

c)

∠I

d)

∠E

14.

Find the measure of ∠A in a triangle ABC if ∠B=20 and ∠C=40.

a)

30^o

b)

120^o

c)

180^o

d)

90^o

15.

What is the measure of angle B?

Given triangle ABC, m∠A=111⁰and m∠C=63^0.

a)

63^o

b)

56^o

c)

136^o

d)

6^o

16.

What does CPCTC stand for?

a)

Corresponding parts of congruent triangles are congruent

b)

Congruent parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are complementary

17.

The measure of ∠ABD is 74^o. What is the measure of ∠CBD?

a)

74^o

b)

37^o

c)

148^o

d)

30^o

18.

What is the sum of the angles of a triangle?

a)

270^o

b)

360^o

c)

90^o

d)

180^o

19.

Which is the postulate illustrated when 2 sides and one included angle are congruent with the 2 sides and one included angle of the other triangle?

a)

SSS

b)

AAS

c)

SAS

d)

ASA

20.

It is a theorem stating that when the hypotenuse and one leg of a right triangle is congruent with the hypotenuse and one leg of the other right triangle, then the two triangles are congruent.

a)

HL

b)

SSS

c)

ASA

d)

AAS

21.

If the dotted figure is the image, the original figure was reflected over the __________________.

a)

x-axis

b)

y-axis

c)

origin

d)

none of the above

22.

This point is translated 3 right and 2 down. Which diagram shows the new position of the point?

a)

b)

c)

d)

23.

How would you describe the translation of the green shape to the red shape?

a)

6 up

b)

3 right, 4 up

c)

3 right, 1 up

d)

3 up

24.

Find the measure of the missing angle.

a)

90^o

b)

130^o

c)

10^o

d)

50^o

25.

Solve for x.

a)

16

b)

50

c)

11

d)

6

26.

What is the measure of the third angle of a triangle whose measure of its first angle is 79^o and the 2nd angle is 43^o?

a)

43^o

b)

72^o

c)

58^o

d)

101^o

27.

What is the angle relationship between the indicated angles in the diagram?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

d)

Vertical Angles

28.

What is the angle relationship between the indicated angles in the diagram?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical Angles

29.

Which of the following sets of angles DO make a triangle?

a)

80, 40, 55

b)

38, 64, 75

c)

41, 56, 83

d)

25, 89, 40

30.

Which of the following sets DO NOT make a triangle?

a)

60, 60, 60

b)

55, 65, 45

c)

45, 90, 45

d)

75, 40, 65

31.

What is the value of the missing angle?

∠A + 25 + 35 = 180

a)

90

b)

100

c)

20

d)

120

32.

What is the value of x?

a)

38

b)

76

c)

57

d)

85

33.

What is the line of reflection?

a)

Reflection across y-axis

b)

Reflection across x = 1

c)

Reflection across x-axis

d)

Reflection across y = 1

34.

Flipping a figures is a ____________.

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

35.

Which of the following vectors describes the translation: 2 right, 5 down?

a)

b)

c)

d)

36.

What is the measure of ∠A?

Given triangle ABC, the measure of ∠B=50 and ∠C is a right angle.

a)

151^o

b)

40^o

c)

160^o

d)

70^o

37.

Identify the m∠DAC.

a)

133^o

b)

33^o

c)

90^o

d)

43^o

38.

If AM = MB, then M must be the midpoint of AB.

a)

True

b)

False

39.

When two parallel lines are cut by a transversal, corresponding angles are complementary.

a)

True

b)

False

40.

∠7 and ∠1 are alternate exterior angles.

a)

True

b)

False

41.

∠3, ∠4, ∠5 and ∠6 are examples of interior angles.

a)

True

b)

False

42.

SAS postulate states that when two sides of a triangle and an included angle are congruent to the two sides and an included angle of the other triangle then the triangles are congruent.

a)

True

b)

False

43.

∠2 and ∠8 are congruent because they are alternate exterior angles.

a)

True

b)

False

44.

Which sets of measurements could be the interior angles of a triangle? Select ALL correct answer.

a)

15°, 15°, 150°

b)

10°, 90°, 100°

c)

30°, 30°, 115°

d)

10°, 80°, 90°

e)

60°, 60°, 60°

45.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

46.

If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180

a)

180 degrees

b)

90 degrees

c)

50 degrees

d)

60 degrees

47.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

48.

Solve for x.

a)

16

b)

11

c)

50

d)

6

49.

Solve for x.

a)

16

b)

11

c)

50

d)

6

50.

Solve for x.

a)

7

b)

9

c)

-11

d)

-8

51.

Solve for x.

a)

6

b)

-10

c)

7

d)

-9

52.

Find the missing angle.

a)

$147\degree$

b)

$30\degree$

c)

$33\degree$

d)

$81\degree$

53.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

54.

Solve for m.

a)

-2

b)

2

c)

-9

d)

9

55.

Which side length corresponds with EF?

a)

MN

b)

LM

c)

OL

d)

EH

56.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

57.

Choose the correct set up to find the length of the side x.

a)

cos(37) = 14/x

b)

cos(37) = x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

58.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

59.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

60.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

61.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

62.

Find the measure of the indicated angle.

a)

$6^{\circ}$

b)

$20^{\circ}$

c)

$43^{\circ}$

d)

$47^{\circ}$

63.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

64.

Set up the problem.

a)

$\sin47=\frac{x}{28}$

b)

$\cos47=\frac{x}{28}$

c)

$\tan47=\frac{x}{28}$

d)

$\cos47=\frac{28}{x}$

65.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x - 9 , y + 2)

b)

(x + 2, y - 9)

c)

(x - 2, y + 5)

d)

(x - 2, y + 9)

66.

Determine where Point X' would be if you translated Point X 3 units left and 9 units down.

a)

(-5, -4)

b)

(-1, -7)

c)

(-4, -5)

d)

(-1, 5)

67.

Determine where Point T' would be if you translated Point T 6 units up and 3 units to the right.

a)

(5, 1)

b)

(5, 3)

c)

(6, 3)

d)

(3, 6)

68.

What translation would result in B' at (-1, 5)?

a)

Translation 3 units left and 1 unit down

b)

Translation 1 unit left and 3 units up

c)

Translation 3 units left and 1 unit up

d)

Translation 1 unit right and 3 units down

69.

How is trapezoid ABCD translated to trapezoid A'B'C'D'? Select all that apply.

a)

Translation: (x, y) --> (x - 8, y + 5)

b)

Translated 5 units down and 1 unit right

c)

Translated 8 units down and 5 units right

d)

Translated 5 units down and 5 units right

e)

Translation: (x, y) --> (x + 5, y - 8)

70.

How would you translate point P to P'? Select all that apply.

a)

Translate 2 units to the right and 8 units down

b)

Translate 4 units down and 2 units to the right

c)

Translation: (x, y) --> (x - 8, y + 2)

d)

Translation: (x, y) --> (x + 2, y - 8)

e)

Translation: (x, y) --> (x + 8, y - 2)

71.

The following shows a reflection across the

a)

x-axis.

b)

y-axis.

c)

y = x.

d)

y = -x.

72.

The following shows a reflection across the

a)

x-axis.

b)

y-axis.

c)

y = x.

d)

y = -x.

73.

What are the coordinates of the following triangle reflected across the x-axis?

a)

A'(2,4); B'(4,6); C'(6,2)

b)

A'(-2,4); B'(-4,6); C'(-6,2)

c)

A'(2,-4); B'(4,-6); C'(6,-2)

d)

A'(4,2); B'(6,4); C'(2,6)

74.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(3, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(5, 3)

75.

Which rule describes rotating 180° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

76.

Describe the given rotation.

Select ALL that apply.

a)

90° counterclockwise

b)

180° clockwise

c)

90° clockwise

d)

270° clockwise

e)

270° counterclockwise

77.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

78.

Calculate the slope.

a)

m=-4/3

b)

m=4/3

c)

m=-3/4

d)

m=3/4

79.

a)

36.66667

b)

25

c)

20

d)

65

80.

a)

36.66667

b)

25

c)

20

d)

65

81.

If m∠6 = 59, what is m∠3?

a)

118

b)

121

c)

59

d)

180

82.

If m∠1 = 121, what is m∠8?

a)

180

b)

242

c)

59

d)

121

83.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

84.

Find the measure of angle F

a)

A

b)

B

c)

C

d)

D

85.

If $m\angle8\ =\ 9x+15$ and $m\angle6\ =\ 6x\ +45.$

Set up your equation and solve for x.

a)

9x + 15 + 6x +45 = 180; x = 8

b)

9x + 15 = 6x + 45; x =10

c)

9x + 15 + 6x +45 = 90; x = 2

d)

9x + 15 = 6x + 45; x =2

86.

What is

m\angle?

? Justify your answer with the appropriate angle theorem

a)

$m\angle?=135\degree$ , Corresponding Angles Theorem

b)

$m\angle?=45\degree$ , Same-Side Interior Angles Theorem

c)

$m\angle?=45\degree$ , Alternate Interior Angles Theorem

d)

$m\angle?=145\degree$ , Corresponding Angles Theorem

87.

Find the values for x and y.

(Answers will be written x, y).

a)

62, 118

b)

9, 12

c)

12, 9

88.

Find the values of x and y.

(Answers will be written as x, y).

a)

14, 5

b)

124, 56

c)

5, 14

89.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

90.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

91.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

92.

Which is the correct ratio?

a)

sin 28 = x/14

b)

cos 28 = x/14

c)

tan 28 = x/14

d)

tan 28 = 14/x

93.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

94.

Find cos A

a)

30/16

b)

30/34

c)

30/15

d)

16/34

95.

FInd tan X

a)

32/40

b)

40/24

c)

32/24

d)

24/32

96.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

97.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

98.

Which Trig function would you use to solve this problem?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

99.

Use a calculator to find sin 45.

a)

.707

b)

1

c)

.809

d)

1.4

100.

Use a calculator to find the cos 70.

a)

.12

b)

2.7

c)

.94

d)

.34

Geometry (Semester 1 Test)

Total questions: 100

Worksheet time: 3hrs 35mins

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