Free Printable Geometry Semester 1 Review

1.

The sum of the angles in a triangle is ________.

a)

180°

b)

45°

c)

90°

d)

360°

2.

What is the measure of the missing angle?

a)

140

b)

130

c)

50

d)

90

3.

Two angles whose sum of angle measures equals 90 degrees

a)

Adjacent Angles

b)

Complementary Angles

c)

Congruent Angles

d)

Supplementary Angles

4.

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

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

5.

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

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

6.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Acute Isosceles

d)

Equiangular Scalene

7.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

Right Isosceles

c)

Right Scalene

d)

Acute Isosceles

8.

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

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

9.

Classify by sides

a)

Right

b)

Isosceles

c)

scalene

d)

equilateral

10.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

11.

Find the value of x.

a)

x = 130

b)

x = 31

c)

x = 44

d)

x = 180

12.

Find the value of x.

a)

x = 11

b)

x = 45

c)

x = 16

d)

x = 5

13.

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

14.

What is the value of x?

a)

x = 234

b)

x = 54

c)

x = 126

d)

x = 36

15.

Angles with the same measure are called ...

a)

Congruent

b)

Similar

c)

Supplementary

d)

Transversal

16.

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

a)

Supplementary Angle

b)

Parallel Line

c)

Transversal

d)

Tarantula

17.

Find the measure of angle A.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

18.

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°

19.

The angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

20.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

21.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

22.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

23.

What is the measure of angle x?

a)

70

b)

160

c)

135

d)

20

24.

Can a triangle be formed with sides of

6, 9, and 11?

a)

Yes

b)

No

25.

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

a)

yes

b)

no

26.

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

a)

yes

b)

no

27.

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

a)

yes

b)

no

28.

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

29.

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

30.

Solve for x

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

(a)

31.

Solve for a

a)

29/12

b)

41/12

c)

107/12

d)

13

32.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

33.

Solve for c

a)

-7/2

b)

-2

c)

-1

d)

-13/2

34.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

35.

Find side length X.

a)

30

b)

25

c)

15

d)

40

36.

Find the missing side length.

a)

32

b)

35

c)

20

d)

16

37.

Find the missing side length.

a)

2

b)

4

c)

3

d)

6

38.

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.

39.

Corresponding angles in similar figures are congruent.

a)

True

b)

False

40.

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

41.

Which side length corresponds with EF?

a)

MN

b)

LM

c)

OL

d)

EH

42.

Solve for x.

a)

10

b)

18

c)

20

d)

12

43.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

44.

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.

45.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

46.

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

47.

Scale Factor of ½ is __________________ .

a)

Reduction

b)

Enlargement

48.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

49.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

50.

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

a)

1/3

b)

48

c)

4

d)

3

51.

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

52.

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)

53.

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)

54.

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.

55.

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

Find the $m\angle CBA$

a)

$120\degree$

b)

$65\degree$

c)

$130\degree$

d)

$125\degree$

56.

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

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

57.

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

Find the value of x

a)

20

b)

6

c)

10

d)

30

58.

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

(a)

59.

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

(a)

60.

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

(a)

61.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

62.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

63.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

64.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

65.

Identify the angle pair.

a)

Complementary angles

b)

Congruent angles

c)

Linear Pair

d)

Vertical Angles

66.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

67.

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°

68.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

69.

Find x

a)

90

b)

45

c)

22

d)

35

70.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

71.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

72.

Solve for x.

a)

16

b)

11

c)

50

d)

6

73.

Find x

a)

3

b)

4

c)

2

d)

10

74.

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.

75.

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

76.

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

77.

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

(a)

78.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

79.

Given that M is the midpoint of

\overline{AB}

and

AB=30

find AM.

a)

15

b)

30

c)

10

d)

not enough information

80.

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

81.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

82.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

83.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

84.

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

a)

3

b)

44

c)

5

d)

6

Geometry Semester 1 Review

Total questions: 84

Worksheet time: 3hrs 48mins

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