Free Printable Geometry Semester 1 Review

1.

Solve for TU

(a)

2.

Find KL

(a)

3.

(a)

4.

(a)

5.

Which represents the converse of an if-then statement?

a)

Q --> P

b)

P --> Q

c)

~P --> ~Q

d)

~Q --> ~P

6.

A statement that can be written using the phrase if and only if, is called a (a) statement

7.

Alternate Interior Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

none of the these

8.

Consecutive Interior Angles are

a)

congruent

b)

complementary

c)

supplementary

d)

none of these

9.

Parallel lines have the (a) slope.

10.

How many congruent sides do isosceles triangles have?

a)

0

b)

1

c)

2

d)

3

11.

In an equiangular triangle, all angles are

a)

congruent

b)

complementary

c)

acute

d)

obtuse

12.

True or False:

SSA is a valid method of proving triangles congruent

a)

True

b)

False

13.

Which side is the shortest in the triangle shown?

a)

AB

b)

BC

c)

CA

14.

Which angle is the LARGEST in the triangle shown?

a)

O

b)

G

c)

E

15.

Write the equation of the line parallel to y = 4x + 3 and passing through the point (-4, -5)

a)

y = -1/4x - 6

b)

y = -1/4x + 8

c)

y = 4x - 2

d)

y = 4x + 11

16.

a)

7

b)

20

c)

10

d)

4

17.

a)

17

b)

28

c)

77

d)

103

18.

a)

90

b)

120

c)

60

d)

45

19.

Find the inverse of the statement, “We can’t go swimming if there is a lightning storm”.

a)

If we can go swimming, then there is no lightning storm.

b)

If there is a lightning storm, then we can’t go swimming.

c)

If we can’t go swimming, then there is a lightning storm.

d)

If there is not a lightning storm, then we can go swimming.

20.

a)

b)

c)

d)

21.

Describe the translation of point A(2, 1) to point A'(5, 3).

a)

(x, y) - (x – 3, y + 2)

b)

(x, y) - (x – 3, y – 2)

c)

(x, y) - (x + 3, y + 2)

d)

(x, y) - (x + 3, y – 2)

22.

a)

x = 23, y = 3

b)

x = 3, y = 23

c)

x = 3, y = 18

d)

x = 1.5, y = 18

23.

a)

9

b)

52

c)

28

d)

15

24.

Use the Law of syllogism to write a new conditional statement that follows from the pair of true statements.

If angles form a linear pair, then they are supplementary.

If angles are supplementary, then their sum is 180°.

a)

If angles form a linear pair, then their sum is 180°.

b)

If angles have a sum of 180°, then they form a linear pair.

c)

If angles are supplementary, then they form a linear pair.

d)

If angles have a sum of 180°, then they are supplementary.

25.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

26.

Find the value of y?

a)

16

b)

12

c)

4

d)

8

27.

Find x

a)

60

b)

48

c)

30

d)

28

28.

a)

72

b)

67

c)

65

d)

54

29.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

30.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

31.

Mario, Jessica, and Farlene are hanging out on the football field in the form of a triangle. Which point of concurrency would be the same distance between all three of them?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

32.

Which point of concurrency is the center of gravity for a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

33.

WHAT IS THE VALUE OF X?

a)

16

b)

11.4

c)

0

d)

-16

34.

WHAT TYPE OF ANGLES ARE THEY

a)

ALTERNATIVE

b)

CONSERVATIVE

c)

CONSECUTIVE (SAME SIDE)

d)

CORRESPONDING

35.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

36.

What is another name for Plane P?

a)

Plane DAB

b)

Plane ABC

c)

Plane ACn

d)

Plane PBC

37.

Name an angle adjacent to <AOB?

a)

Angle AOE

b)

Angle COD

c)

Angle AOC

d)

Angle EOB

38.

Find the midpoint between the points (-1,6) and (2,8)

a)

(9, 4)

b)

(1/2, 1)

c)

(1.5, 1)

d)

(1/2, 7)

39.

Find the distance between (-1, 6) and (2, 8)

a)

3.6

b)

14

c)

2.2

d)

3.7

40.

a)

$m\angle JHI=46^o\ and\ m\angle GHI=19^o$

b)

$m\angle JHI=27^o\ and\ m\angle GHI=78^o$

c)

$m\angle JHI=19^o\ and\ m\angle GHI=46^o$

d)

$m\angle JHI=23^o\ and\ m\angle GHI=52^o$

41.

a)

Reflexive

b)

Symmetric

c)

Transitive

42.

a)

50

b)

40

c)

90

d)

30

43.

What is the reason for step 2?

a)

Addition POE

b)

Subtraction POE

c)

Division POE

d)

Multiplication POE

44.

a)

a.

b)

b.

c)

c.

d)

d.

45.

Determine whether the line through (0,4) and (2,0) and the line through (-2,3) and (-4,2) are parallel, perpendicular, or neither.

a)

parallel

b)

perpendicular

c)

neither

46.

What are the coordinates of the point of the directed line segment from A(-5,-4) to B(5,1) that partitions the segment into a ratio of 3 to 2?

a)

(3,1)

b)

(-3,1)

c)

(3,-1)

d)

(-3,-1)

47.

What are the coordinates of the point of the directed line segment from A(-18,-2) to B(0,6) that partitions the segment into a ratio of 1 to 3?

a)

(-13.5,0)

b)

(13.5,0)

c)

(4,5)

d)

(27,0)

48.

a)

a.

b)

b.

c)

c.

d)

d.

49.

Which is a reflection in the y-axis?

a)

a.

b)

b.

c)

c.

d)

d.

50.

a)

reflection in the y-axis

b)

translation up4, left 6

c)

translation left 4, down 6

d)

translation right 4, down 6

51.

a)

a.

b)

b.

c)

c.

d)

d.

52.

a)

EF

b)

DE

c)

DF

53.

a)

x=67, y=124

b)

x=68, y=74

c)

x=67, y=106

d)

x=50, y=124

54.

a)

x=72

b)

x=36

c)

x=108

d)

x=18

55.

a)

x=15

b)

x=10

c)

x=20

d)

x=17

56.

a)

x=3

b)

x=10

c)

x=7

d)

x=17

57.

The sum of the angles in a triangle is ________.

a)

180°

b)

45°

c)

90°

d)

360°

58.

What is the measure of the missing angle?

a)

140

b)

130

c)

50

d)

90

59.

Two angles whose sum of angle measures equals 90 degrees

a)

Adjacent Angles

b)

Complementary Angles

c)

Congruent Angles

d)

Supplementary Angles

60.

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

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

61.

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

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

62.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Acute Isosceles

d)

Equiangular Scalene

63.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

Right Isosceles

c)

Right Scalene

d)

Acute Isosceles

64.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

65.

Classify by sides

a)

Right

b)

Isosceles

c)

scalene

d)

equilateral

66.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

67.

Find the value of x.

a)

x = 130

b)

x = 31

c)

x = 44

d)

x = 180

68.

Find the value of x.

a)

x = 11

b)

x = 45

c)

x = 16

d)

x = 5

69.

If angle A is 40 degrees and angle B is 140 degrees, then the two angles are _________.

a)

Congruent

b)

Corresponding

c)

Supplementary

d)

Vertical

70.

What is the value of x?

a)

x = 234

b)

x = 54

c)

x = 126

d)

x = 36

71.

Angles with the same measure are called ...

a)

Congruent

b)

Similar

c)

Supplementary

d)

Transversal

72.

A line that intersects at least two other lines is called a ...

a)

Supplementary Angle

b)

Parallel Line

c)

Transversal

d)

Tarantula

73.

Find the measure of angle A.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

74.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

75.

The angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

76.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

77.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

78.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

79.

What is the measure of angle x?

a)

70

b)

160

c)

135

d)

20

80.

Can a triangle be formed with sides of

6, 9, and 11?

a)

Yes

b)

No

81.

Can a triangle be formed with side lengths:
10, 12, 22

a)

yes

b)

no

82.

Can a triangle be formed with side lengths:
4, 7, 10

a)

yes

b)

no

83.

Can a triangle be formed with side lengths:
17, 9, 30

a)

yes

b)

no

84.

Two side measures of a triangle are given. What is the range of values for the third side?

10 and 24

a)

5 < x < 12

b)

14 < x < 34

c)

33 < x < 13

d)

13 < x < 33

85.

Two side measures of a triangle are given. What is the range of values for the third side?

9 and 7

a)

6 < x < 14

b)

2 < x < 13

c)

2 < x < 16

d)

2 < x < 15

86.

Solve for x

$\frac{3}{4}=\frac{x}{8}$

(a)

87.

Solve for a

a)

29/12

b)

41/12

c)

107/12

d)

13

88.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

89.

Solve for c

a)

-7/2

b)

-2

c)

-1

d)

-13/2

90.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

91.

Find side length X.

a)

30

b)

25

c)

15

d)

40

92.

Find the missing side length.

a)

32

b)

35

c)

20

d)

16

93.

Find the missing side length.

a)

2

b)

4

c)

3

d)

6

94.

Are the following figures similar? Why or why not?

a)

Yes, the ratios of the corresponding sides are equal.

b)

No, the ratios of the corresponding sides are not equal.

c)

No, the corresponding angles are not equal.

d)

Yes, the corresponding angles are equal.

95.

Corresponding angles in similar figures are congruent.

a)

True

b)

False

96.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. How tall is the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

97.

Which side length corresponds with EF?

a)

MN

b)

LM

c)

OL

d)

EH

98.

Solve for x.

a)

10

b)

18

c)

20

d)

12

99.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

100.

An architect built a scale model of a music theater using a scale in which 4 inches represents 30 feet. The height of the theater is 120 feet.

What is the height of the scale model in inches?

a)

1 in.

b)

75 in.

c)

16 in.

d)

120 in.

101.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

102.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

103.

Scale Factor of ½ is __________________ .

a)

Reduction

b)

Enlargement

104.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

105.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

106.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

107.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

3

108.

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)

109.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

110.

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.

111.

$\overrightarrow{BD}$ bisects $\angle CBA$

Find the $m\angle CBA$

a)

$120\degree$

b)

$65\degree$

c)

$130\degree$

d)

$125\degree$

112.

$\overrightarrow{AB\ }$ bisects $\angle CAD$ .

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

113.

$\overrightarrow{BD}$ bisects $\angle ABC$

Find the value of x

a)

20

b)

6

c)

10

d)

30

114.

Find XZ, if XY = 13 and YZ = 4.

(a)

115.

Find YZ, if XY = 8 and XZ = 24.

(a)

116.

Find a, if XZ = 18, XY = 2a + 5 and YZ = 3a - 7.

(a)

117.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

118.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

119.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

120.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

121.

Identify the angle pair.

a)

Complementary angles

b)

Congruent angles

c)

Linear Pair

d)

Vertical Angles

122.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

123.

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°

124.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

125.

Find x

a)

90

b)

45

c)

22

d)

35

126.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

127.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

128.

Solve for x.

a)

16

b)

11

c)

50

d)

6

129.

Find x

a)

3

b)

4

c)

2

d)

10

130.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

131.

A point that divides, or bisects, a segment into two congruent segments is called a ___________________.

a)

midpoint

b)

congruent segment

c)

angle bisector

d)

endpoint

132.

Find PM and MQ, given that M is the midpoint of the segment.

a)

PM = 22, MQ = 22

b)

PM = 11, MQ = 22

c)

PM = 11, MQ = 11

d)

PM = 22, MQ = 11

133.

In the figure IG = 18. What is the length of IJ?

(a)

134.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

135.

Given that M is the midpoint of

\overline{AB}

and

AB=30

find AM.

a)

15

b)

30

c)

10

d)

not enough information

136.

If $\overrightarrow{KM}$ bisects $\angle LKJ$ and $m\angle JKM=22\degree$ find $m\angle LKM$ .

a)

22

b)

44

c)

11

d)

68

e)

not enough information given

137.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

138.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

139.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

140.

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

a)

3

b)

44

c)

5

d)

6

141.

If angle AVB has a measure of 70 degrees and VM is its angle bisector, what is the measure of angle AVM?

a)

59

b)

34

c)

45

d)

90

142.

In $\Delta ABC$ , the measure of angle A is five more than twice the measure of angle B. The measure of angle C is eleven less than three times the measure of angle B. What is the measure of angle C?

(a)

143.

Point A is between points C and R on the number line. CR is 27 units long. If point C is at -7 and point A is at 4, on which number on the number line would you find point R?

(a)

144.

In $\Delta ABC,\ AB=BC$ . If $m\angle A=\left(4x-30\right)\degree\ and\ m\angle C=\left(2x+10\right)\degree$ , find $m\angle B$ .

(a)

145.

Given that $\overline{AS}$ bisects $\angle CAR$ . If $m\angle SAR=\left(3x-4\right)\degree\ and\ m\angle CAR=\left(5x+1\right)\degree$ , what is $m\angle CAS$ ?

(a)

146.

In the diagram, $a\parallel b$ , Find $m\angle1$ .

(a)

147.

Use the diagram to find $m\angle B$ .

(a)

148.

On a number line, E is between T and N. T is at -7 and N is at 15. If TE is seven more than twice a number and EN is three times that same number, where is E on this number line?

(a)

149.

In the diagram, $\overrightarrow{AT}$ is the angle bisector. Find $m\angle MAH$ .

(a)

150.

In the diagram, $a\parallel b$ . Find $x$ .

(a)

151.

Given that $\angle1\ and\ \angle2$ are vertical angles, $m\angle1=\left(6x+5\right)\degree\ and\ m\angle2=\left(7x\right)$ , what is the measure of the complement of $\angle1$ ?

(a)

152.

$\angle1\ and\ \angle2$ form a linear pair. $m\angle1=\left(2x+7\right)\degree\ and\ m\angle2=\left(4x+5\right)\degree$ Find the measure of the complement of $\angle1$ .

(a)

153.

Use the diagram to find the measure of angle 8.

(a)

154.

(a)

155.

What is the measure of angle x ?

(a)

156.

What is the measure of angle c ?

(a)

157.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

158.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

159.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

160.

What must be true?

a)

1

b)

2

c)

3

d)

4

161.

a)

1

b)

2

c)

3

d)

4

162.

Select the best answer choice.

a)

A

b)

B

c)

C

d)

D

163.

Which of the following constructions is illustrated?

a)

An angle is congruent to a given angle

b)

The bisector of a given angle

c)

The bisector of a given segment

d)

The perpendicular bisector of a given segment.

164.

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

a)

Construct a perpendicular bisector

b)

Draw a second diameter to the circle

c)

Construct a line tangent to the circle

d)

Set your compass the length of the radius.

165.

The picture represents a compass and straightedge construction of _________?

a)

Copy an angle

b)

Bisect an angle

c)

Copy a line segment

d)

Bisect a line segment

166.

To inscribe a hexagon inside a circle, which length should you set your compass to?

a)

The radius

b)

The diameter

c)

Half of the radius

d)

It depends on the size of the circle

167.

Nate is constructing angle bisector to angle ABC. Where did he position his compass to create the two arcs that intersect at the interior of the angle?

a)

He fixed his compass on B and drew both arcs.

b)

He fixed his compass on points A and C.

c)

He fixed his compass on points D and E.

d)

He fixed his compass on points B and E.

168.

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.

169.

When constructing a line parallel to a given line, you will be

a)

copying a segment

b)

bisecting a segment

c)

copying an angle

d)

constructing a perpendicular

170.

Which is the basis for the procedure used in the construction of a line parallel to a given line through a point not on the line?

a)

Corresponding Angles Theorem

b)

Alternate Exterior Angles Theorem

c)

Alternate Interior Angles Theorem

d)

Consecutive Interior Angles Theorem

171.

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

a)

Place the compass point at B

b)

Place the compass point at C

c)

Place the straightedge along A and C

d)

Place the straightedge along C and D

172.

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

Geometry Semester 1 Review

Total questions: 172

Worksheet time: 9hrs 39mins

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