Free Printable grade 10

1.

Which of the following is NOT a rigid transformation?

a)

b)

c)

d)

2.

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

a)

right two, down five

b)

right two, down 9

c)

left two, up 9

d)

left two, down 5

3.

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)

4.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

5.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

6.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

7.

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

8.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

9.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

10.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

11.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

12.

How is the blue triangle rotated to the red triangle?

a)

90 clockwise

b)

90 counterclockwise

c)

180 clockwise

d)

180 counterclockwise

13.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

14.

What color is the y-axis?

a)

red

b)

black

c)

green

d)

white

15.

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

a)

x-axis

b)

y-axis

16.

Find the value of x

a)

$65\degree$

b)

$115\degree$

c)

$25\degree$

d)

$35\degree$

17.

Find the value of y. (Hint: use Pythagorean theorem)

a)

25

b)

5

c)

7

d)

14

18.

Find the value of x. (Hint: What type of triangle is this?)

a)

4

b)

1

c)

-4

d)

10

19.

Find the value of y.

a)

60

b)

30

c)

20

d)

12

20.

Find the value of x. (Hint: what kind of triangle is this?)

a)

$114\degree$

b)

$66\degree$

c)

$48\degree$

d)

$24\degree$

21.

Find the value of y.

a)

$114\degree$

b)

$66\degree$

c)

$48\degree$

d)

$24\degree$

22.

Find the value of x.

a)

$30\degree$

b)

$45\degree$

c)

$60\degree$

d)

$12\degree$

23.

Find the value of y.

a)

$30\degree$

b)

$45\degree$

c)

$60\degree$

d)

$12\degree$

24.

Find the value of x. (Hint: what kind of triangle is this?)

a)

$43\degree$

b)

$47\degree$

c)

$94\degree$

d)

$137\degree$

25.

Find the value of y.

a)

5

b)

10

c)

15

d)

20

26.

Find the value of z.

a)

5

b)

10

c)

15

d)

20

27.

Find the value of x.

a)

$40\degree$

b)

$50\degree$

c)

$60\degree$

d)

$80\degree$

28.

Find the value of y.

a)

$40\degree$

b)

$50\degree$

c)

$60\degree$

d)

$80\degree$

29.

Triangle KLM is equilateral with KM = x + 2, LM = 12 – x, and KL = 4x – 13.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

3

c)

4

d)

5

30.

Triangle DEF is isosceles, angle D is the vertex angle, DE = x + 7, DF = 3x – 1, and EF = 2x + 5.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

4

c)

6

d)

8

31.

Triangle LMN is isosceles, angle L is the vertex angle, LM = 3x – 2, LN = 2x + 1, and MN = 5x – 2.

Find the value of x.

(Hint: draw a picture)

a)

0

b)

1

c)

2

d)

3

32.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

33.

Name the corresponding side.

a)

A

b)

B

c)

C

d)

D

34.

Name the corresponding angle.

a)

A

b)

B

c)

C

d)

D

35.

Name the corresponding side.

a)

A

b)

B

c)

C

d)

D

36.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

37.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

38.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

39.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

40.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

41.

What additional information is required for the 2 triangles to be congruent by ASA?

a)

A

b)

B

c)

C

d)

D

42.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

43.

What additional information is required for the 2 triangles to be congruent by SAS?

a)

A

b)

B

c)

C

d)

D

44.

What additional information is required for the 2 triangles to be congruent by AAS?

a)

A

b)

B

c)

C

d)

D

45.

Which of the following is not a valid reason to prove congruent triangles?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

46.

Vertical angles are congruent.

a)

True

b)

False

47.

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

a)

Yes

b)

No

48.

Can the following side measures form a triangle?
4 cm, 7 cm, 10 cm

a)

Yes

b)

No

49.

Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

a)

Yes

b)

No

50.

Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12

a)

Yes

b)

No

c)

I don't know.

51.

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

52.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

53.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

54.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

55.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

between 8 and 15

b)

between 7 and 23

c)

less than 7, greater than 23

56.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

between 8 and 16

b)

less than 4, greater than 12

c)

between 4 and 12

57.

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}

58.

Does a triangle with these side lengths exist?
33, 16, 17

a)

Yes

b)

No

c)

I don't know.

59.

Two angles that add up to 90 degrees are called _____________ ______.

a)

supplementary angles

b)

complementary angles

c)

corresponding angles

d)

right angles

60.

Two angles that add up to 180 degrees are called _____________ ______.

a)

right angles

b)

corresponding angles

c)

complementary angles

d)

supplementary angles

61.

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

62.

Which of the following statements is false?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

BD bisects AC

63.

Find the value of y.

a)

65

b)

110

c)

75

d)

None of these.

64.

The diagonals in a kite __________.

a)

are perpendicular

b)

are congruent

c)

bisect each other

65.

According the the definition of a kite, "A kite is a quadrilateral with..."

a)

2 pairs of OPPOSITE congruent sides.

b)

2 pairs of CONSECUTIVE congruent sides.

c)

4 congruent sides.

d)

congruent diagonals.

66.

Kite LMNO is shown.
Solve for x.

a)

90

b)

180

c)

60

d)

75

67.

Kite LMNO is shown.
Solve for x.

a)

32

b)

148

c)

90

d)

58

68.

Find the value of x and y on the kite.

a)

x=12 y=6

b)

x=6 y=12

c)

x=24 y=12

d)

x=12 y=24

69.

What is the value of x on the kite.

a)

3

b)

15

c)

13

d)

23

70.

Base angles of an isosceles trapezoid are _____.

a)

neither

b)

supplementary

c)

congruent

71.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

72.

Find the midsegment.

a)

14

b)

28

c)

12

d)

16

73.

Find the missing angle.

a)

65

b)

115

c)

180

d)

None of these

74.

Which of the following statements is false?

a)

all four angles are congruent

b)

the legs are congruent

c)

the diagonals are congruent

d)

the base angles are congruent

75.

A midsegment of a trapezoid

a)

is the same as a diagonal

b)

is half the sum of the lengths of the bases

c)

is parallel to the legs

d)

none of these

76.

Find the value of x that makes that shape a kite.

a)

x = 4.5

b)

x= 4

c)

x = 2

d)

x = 5

77.

All trapezoids have exactly one set of sides _____________.

a)

congruent

b)

parallel

c)

consecutive

d)

bisecting

78.

Find the midsegment.

a)

11

b)

22

c)

None of these

d)

10.5

79.

Find the value of x.

a)

35

b)

3

c)

33

d)

None of these

80.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

81.

Base angles are congruent for _______.

a)

trapezoids

b)

kites

c)

isosceles trapezoids

d)

circles

82.

The diagonals in an isosceles trapezoid are _______.

a)

congruent

b)

parallel

c)

consecutive

d)

bisecting

83.

Find the measure of ∠2:

a)

96°

b)

88°

c)

84°

d)

92°

84.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

85.

Find the measure of the x (midsegment):

a)

25

b)

9

c)

12

d)

15

86.

Kites and trapezoids are parallelograms.

a)

always

b)

sometimes

c)

never

87.

I have 4 sides and two sets of adjacent sides that are congruent.

a)

Retangle

b)

Trapazoid

c)

Rhombus

d)

Kite

88.

Find the measure of the midsegment XY:

a)

21

b)

9

c)

12

d)

10.5

89.

Find the measure of n:

a)

117

b)

63

c)

25

d)

39

90.

Find the value of x:

a)

5

b)

7

c)

8

d)

11

91.

Find the value of x:

a)

2

b)

4

c)

1

d)

5

92.

Kite ABCD is shown.
If AC = 44, what is EC?

a)

44

b)

11

c)

88

d)

22

93.

If one leg of an isosceles trapezoid is 24 cm, what is the measure of the other leg?

a)

48 cm

b)

24 cm

c)

36 cm

d)

12 cm

94.

The consecutive angles along the legs of an isosceles trapezoid are

a)

equal to each other

b)

complementary

c)

supplementary

d)

equal to 360 degrees

95.

The angles between the shorter and longer legs of a kite are _____________ .

a)

complementary

b)

congruent

c)

vertical

d)

supplementary

96.

Find the measure of ∠K:

a)

114°

b)

124°

c)

77°

d)

66°

97.

Find the value of x and y in the kite

a)

x=55 y=35

b)

x=35 y=55

c)

x=145 y=35

d)

x=75 y=35

98.

Find the measure of the x (midsegment):

a)

25

b)

9

c)

12

d)

15

99.

Find the value of AD. Substitute x back in after you solve for it.
AD= 3x+4, BC= 8x-11

a)

13

b)

3

c)

23

d)

no idea

100.

Angle Q and B are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

101.

Angle C and P are...

a)

Alternate Interior Angles

b)

same side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

102.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

103.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60 degrees

b)

30 degrees

c)

120 degrees

104.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

105.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

a)

43

b)

37

c)

143

d)

37

106.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

107.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

108.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

109.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

110.

Solve for x.

a)

41

b)

-41

c)

-9

d)

-21

111.

A line that passes through parallel lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

112.

If angle A and angle B are complementary and angle A measures 35 degrees, what is the measure of angle B?

a)

55 degrees

b)

65 degrees

c)

145 degrees

d)

155 degrees

113.

What is the measure of an angle that is supplementary to a 110-degree angle?

a)

70 degrees

b)

80 degrees

c)

90 degrees

d)

100 degrees

114.

Which of the following angles is classified as an acute angle?

a)

92 degrees

b)

89 degrees

c)

180 degrees

d)

0 degrees

115.

An angle measures 120 degrees. Which classification does it fall under?

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

Straight angle

116.

What is the measure of a right angle?

a)

45 degrees

b)

90 degrees

c)

135 degrees

d)

180 degrees

117.

Which of the following statements is true about vertical angles?

a)

They are always acute

b)

They are always supplementary

c)

They are always congruent

d)

They are always adjacent

118.

If two adjacent angles form a straight line, what is the sum of their measures?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

119.

If the measure of < 1 is 70 degrees, what is the m < 4 ?

a)

70 degrees

b)

90 degrees

c)

180 degrees

d)

110 degrees

120.

What is the measure of < x ?

a)

90 degrees

b)

360 degrees

c)

50 degrees

d)

130 degrees

121.

What type of angle is this?

a)

Straight

b)

Acute

c)

Right

d)

Obtuse

grade 10

Total questions: 121

Worksheet time: 10hrs 49mins

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