Free Printable Geometry Semester 1 Final Practice Test 2020

1.

If m∠SQR = (2x + 6)°, m∠PQR = (10x - 5)° and m∠SQP = 61°. Find m∠SQR and m∠PQR.

a)

m∠SQR=45° and m∠PQR=16°

b)

m∠SQR=10° and m∠PQR=51°

c)

m∠SQR=51° and m∠PQR=10°

d)

m∠SQR=16° and m∠PQR=45°

2.

Name an angle complementary to ∠BOC.

a)

∠COD

b)

∠BOE

c)

∠DOE

d)

∠AOB

3.

What is the measure of the exterior angle?

a)

9

b)

52

c)

28

d)

15

4.

Which coordinate notation represents the translation?

a)

$\left(x,\ y\right)\rightarrow\left(x-5,y-7\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x+6,y+4\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+5,y+7\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x-4,y-6\right)$

5.

Solve for x

a)

19

b)

6

c)

38

d)

32

6.

Find the value of x.

a)

10

b)

29

c)

23

d)

35

7.

Which of the following sets of angle measures could be the 3 interior angles of a triangle? Choose all that apply.

a)

$75\degree,\ 80\degree,\ 25\degree$

b)

$40\degree,\ 40\degree,\ 90\degree$

c)

$30\degree,\ 60\degree,\ 90\degree$

d)

$10\degree,\ 20\degree,\ 150\degree$

8.

$Find\ m\angle2$

a)

$9\degree$

b)

$17\degree$

c)

$50\degree$

d)

$82\degree$

9.

Which of the following statements is correct?

a)

The lines are parallel because the angles are equal.

b)

The lines are parallel because the angles are supplementary

c)

The lines are not parallel because the angles are not equal

d)

The lines are not parallel because the angles are not supplementary

10.

a)

$29\degree$

b)

$61\degree$

c)

$34\degree$

d)

$47.5\degree$

11.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

12.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

supplementary angles

c)

corresponding angles

d)

vertical angles

13.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

14.

Find y.

a)

50

b)

130

15.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

16.

Find x.

a)

x = 118

b)

x = 31

c)

x = 23

d)

x = 62

17.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

18.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 19 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 19 + 4X +1=180

19.

Solve for x.

a)

9

b)

15

c)

11

d)

3

20.

Solve for x.

a)

5

b)

8

c)

3

d)

11

21.

What is the measure of ∠TRS?

a)

15°

b)

45°

c)

135°

d)

165°

22.

Find the value of x and y.

a)

x = 10, y = 20

b)

x = 28, y = 152

c)

x = 28, y = 128

d)

x = 20, y = 20

e)

x = 30.67, y = 14.1

23.

Find the values of x and y.

a)

x = 30, y = 120

b)

x = 120, y = 60

c)

x = 60, y = 60

d)

x = 120, y = 30

e)

x = 60, y = 120

24.

Find the value of X

a)

94

b)

25

c)

36

d)

180

25.

What is the degree of rotational symmetry of the figure?

a)

$30\degree$

b)

$60\degree$

c)

$72\degree$

d)

$120\degree$

26.

Based on the information given, which of the following would prove that quadrilateral ABCD a parallelogram.

a)

$AB\cong CD$

b)

$AD\cong BC$

c)

$AB\cong CD\ and\ AD\cong BC$

d)

$\angle A\cong\angle C\ and\ \angle B\cong\angle D$

27.

Which of the following angle types cannot be used to prove two lines are parallel?

a)

corresponding

b)

alternate interior

c)

vertical angles

d)

same side interior

28.

Line r is parallel to Line s. If $\angle ABC=3x-2$ and $\angle FED=40\degree$ find x.

a)

8.67

b)

40

c)

12.67

d)

14

29.

If $a\parallel b\ and\ c\parallel d$ , select all angles that are NOT congruent to angle 1.

a)

2

b)

6

c)

9

d)

12

e)

3

30.

The point (3,1) is translated $\left(x,y\right)\rightarrow\left(x+2,\ y-3\right)$ and then reflected across the line $x=4$ .

use graph paper to solve

a)

(3,-2)

b)

(5,-2)

c)

(-3, 2)

d)

(-5, 2)

31.

Point A is located at (-1, 4). The point is reflected over the y-axis and translated according to the rule: $\left(x,y\right)\rightarrow\left(x+4,\ y-3\right)$ . What is the location of A''?
*use graph paper to solve*

a)

(-1, -4)

b)

(3,-7)

c)

(3, 1)

d)

(4, 1)

e)

(5, 1)

32.

Describe the compostions of transformations.

a)

First the triangle was rotated 180° about the origin, then reflected over the x-axis.

b)

First the triangle was reflected over the y-axis, then rotated 90° about the origin.

c)

First the triangle was translated (x-5,y), then reflected over the x-axis.

d)

First the triangle was reflected over the y-axis, then reflected over the x-axis.

e)

First the triangle was rotated 90° counterclockwise about the origin, then reflected over the x-axis.

33.

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

34.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

35.

Enlargement or reduction? Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

36.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

37.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

38.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

39.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

40.

In the image, line RS is _______ to line JQ.

a)

parallel

b)

congruent

c)

similar

d)

perpendicular

41.

Name the construction.

a)

midpoint

b)

perpendicular through a point on the line

c)

perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

42.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

43.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a)

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b)

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c)

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d)

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

44.

The steps shown are a part of the construction of which figure?

a)

square

b)

rectangle

c)

equilateral triangle

d)

regular hexagon

45.

Connecting the points where the arcs intersect the circle will finish the construction of what polygon?

a)

isosceles triangle

b)

square

c)

hexagon

d)

rectangle

46.

What kind of construction is displayed in this picture?

a)

A circle inscribed in a hexagon

b)

A hexagon inscribed in a circle

c)

A hexagon

d)

A circle

47.

Assume the angle of

$\angle YAB$

a)

$135\degree$

b)

$180\degree$

c)

$90\degree$

d)

$85\degree$

48.

Assume the angle of

\angle BAC

a)

$22.5\degree$

b)

$45\degree$

c)

$65\degree$

d)

$85\degree$

49.

Name that shape.

a)

square

b)

square

rhombus

c)

quadrilateral

parallelogram

rhombus

d)

quadrilateral

parallelogram

square

50.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

51.

Find the missing angle.

a)

65°

b)

85°

c)

75°

d)

70°

52.

What is the sum of a Quadrilaterals interior angles?

a)

180

b)

360

c)

400

d)

240

53.

How many degrees are in the missing angle?

a)

60°

b)

114°

c)

70°

d)

360°

54.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

55.

The figure is a parallelogram.

Solve for x.

a)

7

b)

2

c)

0

d)

4

56.

What shape is this?

a)

Kite

b)

Square

c)

Trapezoid

d)

Rhombus

57.

a trapezoid is a quadrilateral with...

a)

2 pairs of parallel sides

b)

4 right angles

c)

4 equal sides

d)

1 pair of parallel sides

58.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

59.

Solve for the variables.

a)

g=61, h=25

b)

g=60, h=9

c)

g=61, h=9

60.

Given trapezoid ABCD with median (labeled as shown).

Find EF.

a)

8

b)

14

c)

17

d)

19

61.

Given parallelogram ABCD with

m∠B = 5x and m∠C = 3x+4.

Find the number of degrees in ∠D.

a)

70

b)

110

c)

73

d)

115

62.

What is the name of this shape?

a)

Kite

b)

Rhombus

c)

Square

d)

Rectangle

63.

Choose the following images that are a polygons.

a)

b)

c)

d)

64.

Choose all the properties of a square

a)

its a rectangle

b)

its a rhombus

c)

its a parallelogram

d)

its a quadrilateral

65.

What is a polygon?

a)

A closed plane figure made up of line segments

b)

An open plane figure made up of line segments

c)

A closed plane figure made up of rays

d)

An open plane figure made up of rays

66.

How many sides does a Pentagon have?

a)

4

b)

3

c)

5

d)

9

67.

How many sides does a Hexagon have?

a)

6

b)

4

c)

3

d)

9

68.

The folded line that shows a shape has symmetric is called what?

a)

Line of Symmetry

b)

Line of Special

c)

Line of Obtuse

d)

Line of Noral

69.

How many sides does a decagon have?

a)

12

b)

9

c)

7

d)

10

70.

What is the best description of the polygon?

a)

equilateral

b)

equiangular

c)

regular

d)

neither

71.

Find the measure of angle E.

a)

9

b)

97°

c)

48°

d)

79°

72.

What is the SUM of the EXTERIOR angles of a hexagon?

a)

360

b)

120

c)

60

d)

720

73.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

74.

Find the value of y.

a)

110

b)

90

c)

130

d)

120

75.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

76.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

e)

Translation (x, y-2)

77.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation (x-7,y)

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

e)

Translation (x+7,y)

78.

What is the rule for the dilation pictured below?

a)

(x, y) → (½x, ½y)

b)

(x, y) → (x + 2, y + 2)

c)

(x, y) → (x + ½, y + ½)

d)

(x, y) → (2x, 3y)

e)

(x, y) → (2x, 2y)

79.

Identify the transformation from C to D. Check ALL that apply

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

270^o Counter-Clockwise Rotation

e)

90^o Counter-Clockwise Rotation

80.

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

a)

2

b)

3

c)

1/2

d)

1/3

e)

Not enough information

81.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counter-clockwise about the origin.

e)

Reflect across the x-axis and then rotate 90 degrees counter-clockwise around the origin

82.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

e)

reflect over the x-axis, and then left 6

83.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

e)

reflect over the y axis, and then left 1 and up 4

84.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

e)

reflect over the x-axis then translate 4 to the right

85.

What is the rule for the following reflection?

a)

Reflection across y = −2

b)

Reflection across x = −2

c)

Reflection across x = 2

d)

Reflection across y = 2

e)

Reflection across y = x

86.

Which of the following transformation will map the regular pentagon onto itself, choose ALL that apply?

a)

x axis reflection

b)

y axis reflection

c)

90 degree rotation

d)

180 degree rotation

e)

72 degree rotation around the origin

87.

Which transformation will map the parallelogram onto itself?

a)

reflection x axis

b)

reflection y axis

c)

refection across the green line

d)

reflection over the line y=x

e)

none of these above

88.

Which of the following transformations will NOT map the regular hexagon onto itself?

a)

270 degree rotation about the origin

b)

x axis reflection

c)

y axis reflection

d)

180 degree rotation about the origin

e)

120 degree rotation about the origin

89.

Select each answer choice that will map the regular polygon onto itself?

a)

36 degree rotation

b)

90 degree rotation

c)

180 degree rotation

d)

252 degree rotation

e)

270 degree rotation

90.

Which description of a figure and its image match the transformation described by (x,y)→(x,3y)

a)

The figure and it image are similar and the image has been translated 3 units up.

b)

The figure and its image are similar and the image has been translated 3 units to the right.

c)

The figure and its image are congruent and the image has been stretched horizontally.

d)

The figure and its image are are neither similar nor congruent, and the image has been stretched horizontally.

e)

The figure and its image are neither similar nor congruent, and the image has been stretched vertically.

91.

Which transformation or set of transformations will map a point (x,y) onto the point (2x+1, 2y)

a)

a dilation with a scale factor of 2 through the origin followed by a translation of right 1 unit

b)

a dilation with a scale factor of 2 through the origin followed by a translation of up 1 unit

c)

a dilation of scale factor 2 through the point (1,0)

d)

a dilation of scale factor 2 through the point (0,1)

e)

a dilation of scale factor 1 through the point (2,2)

92.

What is a ray?

a)

Part of a line with 2 endpoints

b)

Part of a line with 1 end point and goes on forever

c)

Part of a line with 0 endpoints

d)

Part of a line with 5 endpoints

e)

A line that has 2 points and extends forever

93.

An example of 2 non-collinear points.

a)

D, E

b)

C, B

c)

M, E

d)

F, B

94.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

95.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

96.

How would you describe points I, L, C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

97.

a)

$\angle K$

b)

$\angle RKW$

c)

$\angle TKW$

d)

$\angle WKR$

98.

Which postulate or theorem would prove x || y?

a)

Corresponding Angles

b)

Consecutive Interior Angles

c)

Alternating Interior Angles

d)

Alternating Exterior Angles

e)

Cannot prove the line are parallel

99.

What is another name for ∠H

a)

∠KGH

b)

∠LGH

c)

∠LHG

d)

∠K

100.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

Geometry Semester 1 Final Practice Test 2020

Total questions: 100

Worksheet time: 2hrs 40mins

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