Free Printable Geometry Final

1.

What type of angles are c and h?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

2.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

3.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

4.

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

a)

SAS

b)

ASA

c)

SSS

d)

Not Possible

5.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

6.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

$\Delta\ ABC\ \cong\ \Delta DFE$

d)

$\Delta ABC\ \cong\Delta\ DEF$

7.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

8.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

9.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

10.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

11.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

12.

What is the value of z?

a)

7

b)

11

c)

12

d)

23

13.

Given: ∆ LET ≅ ∆ PIC

What is the value of x?

a)

30

b)

40

c)

50

d)

60

14.

Given: ∆ MAP ≅ ∆ EHP

What is the value of x?

a)

9

b)

10

c)

11

d)

12

15.

A rectangle is a quadrilateral with...

a)

4 equal sides

b)

2 pairs of parallel sides

c)

4 right angles AND two pairs of parallel lines

d)

4 right angles

16.

A parallelogram is a quadrilateral with...

a)

2 pairs of parallel sides

b)

1 pair of parallel sides

c)

4 right angles

d)

4 equal sides

17.

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

18.

a rhombus is a quadrilateral with...

a)

1 pair of parallel sides

b)

2 pairs of parallel sides AND 4 equal sides

c)

2 pairs of parallel lines

d)

4 equal sides

19.

Give the specific name for this quadrilateral

a)

rectangle

b)

trapezoid

c)

parallelogram

d)

square

20.

Give the specific name for this quadrilateral

a)

rectangle

b)

square

c)

rhombus

d)

trapezoid

21.

Which shape is NOT an example of a parallelogram?

a)

b)

c)

d)

22.

Kate built a garden box with 4 sides. It has two sets of parallel sides. Which of the following shapes could her garden NOT be?

a)

rectangle

b)

trapezoid

c)

square

d)

parallelogram

23.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

24.

What shape is this?

a)

Rectangle

b)

Kite

c)

Trapezoid

d)

Parallelogram

25.

How many degrees are in the missing angle?

a)

60°

b)

114°

c)

70°

d)

360°

26.

Shape WXYZ is a rhombus. Calculate the value of y.

a)

54^o

b)

42⁰

c)

96^o

d)

84^o

27.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

28.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

29.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

30.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

31.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

32.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

33.

Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰

a)

Yes

b)

No

c)

There is not enough information to decide.

34.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

35.

Find AE

a)

12.5

b)

18

c)

11.75

d)

13

36.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

37.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

38.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

39.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

40.

Simplify √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

41.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

42.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

43.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

44.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

45.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

46.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

47.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

48.

Classify this triangle by its sides.

a)

equilateral

b)

scalene

c)

isosceles

d)

right

49.

Classify this triangle by its sides.

a)

equilateral

b)

scalene

c)

isosceles

50.

Classify this triangle by its sides and its angles.

a)

obtuse scalene

b)

equilateral equiangular

c)

acute right

d)

right isosceles

51.

Classify this triangle by its sides and its angles.

a)

obtuse scalene

b)

equilateral equiangular

c)

acute right

d)

right isosceles

52.

Classify this triangle by its sides and angles.

a)

obtuse scalene

b)

right isosceles

c)

obtuse isosceles

d)

acute isosceles

53.

Classify this triangle by its sides and angles.

a)

obtuse scalene

b)

acute scalene

c)

equilateral equiangular

d)

acute isosceles

54.

Select the letter that represents a right isosceles triangle.

a)

A

b)

B

c)

C

d)

D

55.

How do you find the missing angle?

a)

124 + 77

b)

2(77)

c)

180 - 77

d)

124 - 77

56.

What do the interior angles in a triangle have a sum of?

a)

180

b)

90

c)

360

d)

270

57.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

58.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

59.

Find the value of x.

a)

-8

b)

83

c)

95

d)

14

60.

Find $m\angle1.$

a)

$180\degree$

b)

$65\degree$

c)

$115\degree$

61.

Which pair of angles is an example of alternate exterior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

62.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

63.

Solve for x

a)

28

b)

12

c)

10

d)

2

64.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

65.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

66.

WHAT IS THE VALUE OF X?

a)

-7

b)

9.4

c)

7

d)

-9.4

67.

WHAT TYPE OF ANGLES ARE THESE?

a)

CONSECUTIVE

b)

CORRESPONDING

c)

CORRECTIVE

d)

SAME SIDE

68.

What is $m\angle Y\$ if $m\angle X=72\degree$ ?

a)

$m\angle Y=72\degree$ because alternate interior angles.

b)

$m\angle Y=\ 108\degree$ because corresponding angles.

c)

$m\angle Y=108\degree$ because consecutive interior angles.

d)

$m\angle Y=72\degree\$ because alternate exterior angles.

69.

Find X and Y.

a)

X=14

Y=37

b)

X=42

Y=138

c)

X=2

Y=174

d)

X=14

Y=138

70.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

71.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

72.

Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

(8,2)

b)

(-26,-14)

c)

(0,-10)

d)

(-2,-8)

73.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

74.

What is the distance between (2,9) and (1,5)?

a)

15

b)

17

c)

4.12

d)

3.87

75.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

76.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{2,5,9}

b)

{6,6,7}

c)

{6,4,2}

d)

{7,8,1}

77.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

78.

What is congruency?

a)

Same size and shape

b)

Same size

c)

segment

d)

congruent

79.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

80.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

81.

Remember order matters. Which of the following is true?

a)

∆JLK ≅ ∆XWJ

b)

∆LJK ≅ ∆JWX

c)

∆JKL ≅ ∆JXW

d)

∆LKJ ≅ ∆JXW

82.

Based on this diagram, which statement is not true?

a)

$<B\cong<F$

b)

$\overline{CD}\cong\overline{GH}$

c)

$<E\cong<A$

d)

$\overline{BC}\cong\overline{FE}$

83.

$\Delta XYZ\cong\Delta RST$
Find the value of x.

a)

17.5

b)

25

c)

30

d)

15.5

84.

What statement is needed to prove that the polygons are congruent?

a)

$\overline{JQ}\cong\overline{QL}$

b)

$\overline{KL}\cong\overline{NP}$

c)

$<L\cong<L$

d)

$<N\cong<K$

85.

Name this angle.

a)

acute

b)

right

c)

obtuse

d)

none of the above

86.

What is the relationship between the angles shown?

a)

Vertical Angles

b)

Complementary

c)

Supplementary

d)

Adjacent

87.

a)

100°

b)

80°

c)

90°

d)

180°

88.

∠1 and ∠2 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

89.

Choose the correct name for the angle marked $\angle6.$

a)

$\angle KVL$

b)

$\angle LKV$

c)

$\angle V$

d)

$\angle JKV$

90.

$\overline{xy}$ What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

91.

A _____ is straight and extends in both directions forever.

a)

point

b)

line

c)

line segment

d)

ray

92.

$\overrightarrow{xy}\$ What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

93.

What is the name of this 3D solid?

a)

Cone

b)

Triangular Prism

c)

Hexagonal Pyramid

d)

Cylinder

94.

What is the name of this 3D solid?

a)

Triangular Prism

b)

Triangular Pyramid

c)

Square Prism

d)

Square Pyramid

95.

What are vertices?

a)

sides

b)

angles

c)

faces

d)

corners

96.

What is the main difference between Prisms and Pyramids?

a)

A prism has 2 bases and a pyramid has 1 base.

b)

A prism has to have all 90 degree sides and a pyramid doesn't

c)

A prism must have a least one curved line and a pyramid doesn't

d)

A prism must be 3-d but a pyramid shouldn't

97.

This is a...

a)

pentagonal prism

b)

rectangular prism

c)

pentagonal pyramid

d)

hexagonal prism

98.

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

a)

5

b)

6

c)

7

d)

8

99.

a)

50°

b)

58°

c)

115°

d)

226°

100.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

101.

It is Monday morning and a student request to move from his HF. What would you tell him?

a)

Of course, we will find a new one and you can move today

b)

Of course, we will find a new one and you can move on the weekend

c)

No, stay there forever

d)

Of course, we will find a new one and you can move tomorrow.

102.

Find x.

a)

10

b)

$10\sqrt{3}$

c)

$10\sqrt{2}$

d)

20

103.

Find x.

a)

22

b)

$11\sqrt{3}$

c)

$11\sqrt{2}$

d)

11

104.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

105.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

106.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

107.

Translate the blue shape to the green shape...

a)

5 Right

2 Up

b)

5 Left

2 Down

c)

5 Right

5 Up

d)

5 Left

5 Down

108.

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

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

109.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

110.

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

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

111.

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

112.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

113.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

114.

When you reflect over the y axis, what stays the same?

a)

x stays the same

b)

y stays the same

c)

z stays the same

d)

q stays the same

115.

What is the perimeter?

a)

20

b)

5

c)

4

116.

Which meme best describes your math skills on this quizizz?

a)

b)

c)

d)

117.

Find the area

a)

150m²

b)

120m²

c)

126m²

d)

200m²

118.

a)

$135\ in^2$

b)

$54\ in^2$

c)

$130\ in^2$

d)

$125\ in^2$

119.

a)

$48\ m^2$

b)

$24\ m^2$

c)

$30\ m^2$

120.

Find the area of the following shape

a)

72cm²

b)

50cm²

c)

42cm²

d)

33cm²

121.

Find the area of the following shape

a)

54cm²

b)

40cm²

c)

576cm²

d)

64cm²

122.

Find the area of the figure

a)

43 in²

b)

102 in²

c)

37 in²

d)

90 in²

123.

Calculate the Volume

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

124.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

125.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

126.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

127.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

128.

Find the volume of the 3Dimensional shape

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

129.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

130.

What is the volume of the composite solid?

a)

301.6 cm³

b)

502.7 cm³

c)

268.1 cm³

d)

167.6 cm³

Geometry Final

Total questions: 130

Worksheet time: 5hrs 5mins

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