Free Printable IG Math G7 S2 Progress Review 2 Revision

1.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

2.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

3.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

4.

Find the midpoint of an imaginary diagonal AC of ABCD.

a)

(1, 3)

b)

(5, 4)

c)

(6, 4)

d)

(0, 4)

5.

Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)

a)

y = x - 4

b)

y = x + 4

c)

y = 1/2x -4

d)

y = x + 2

6.

Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)

a)

y = 2x + 4

b)

y = 2x + 6

c)

y = -2x + 6

d)

y = 2x - 6

7.

Write the equation of the perpendicular bisector of the line AB given:
A(4,-2) & B(4,4)

a)

y = 2

b)

x = 1

c)

y = x + 1

d)

y = 1

8.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

9.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

10.

Which formula is shown?

a)

Slope

b)

Distance

c)

Midpoint

11.

What formula would you use to show two line bisect each other?

a)

b)

c)

12.

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

13.

Find the endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

14.

Find the other endpoint of the line segment with the given endpoint (2, 8) and midpoint (-3, 4).

a)

(-0.5, 6)

b)

(6, -0.5)

c)

(0, -8)

d)

(-8, 0)

15.

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

a)

(18, -23)

b)

(13, 18)

c)

(11, 4)

d)

(1.5, -2)

16.

Toni is located halfway between the Pizzeria and the Taco Shop. Toni is at (-8, 10). The Pizzeria is located at (-2, 8). Where is the Taco Shop located?

a)

(-5, 9)

b)

(-3, 1)

c)

(-14, 12)

d)

(18, -12)

17.

A race starts at coordinates ( -10, -6). There is a water stop halfway through the race at ( 7, 4). What are the coordinates of the finish line?

a)

(-27, -16)

b)

(24, 14)

c)

(-1.5, -1)

d)

(-8.5, -5)

18.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

19.

Find the midpoint: $\left(2,-7\right),\left(10,1\right)$

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

20.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

21.

What is the distance between the two points?

a)

6.3

b)

6.7

c)

6.5

d)

16

22.

What is the distance between A & B?

a)

4.1

b)

5.1

23.

Find the distance between these two points.

a)

13

b)

3.6

c)

7.9

d)

9.2

24.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

25.

Find the distance between (-12, 1) and (12, 1).

a)

24.05

b)

24.06

c)

24.00

d)

24.07

26.

What is the distance between (4,1) and (0,-2)?

a)

$\sqrt[]{34}$

b)

10

c)

5

d)

$5\sqrt[]{2}$

27.

What's the distance between (-3,4) and (-3, -10)?

a)

14

b)

-14

c)

6

d)

-6

28.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

29.

What letter is at (7, -6)?

a)

D

b)

L

c)

X

d)

There is no letter at those coordinates.

30.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

31.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

32.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

33.

What is the distance between (-5, 3) and (4, -5)?

a)

$\sqrt{-145}$

b)

$\sqrt{145}$

c)

145

d)

-145

34.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

35.

What is the distance between AB?

a)

0

b)

undefined

c)

5

d)

4

36.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

37.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

38.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

39.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

40.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

41.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

42.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

43.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

44.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

45.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to $\left(A\cup B\right)\cap C$ ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

46.

Which is the correct set notation for the complement of A union B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

47.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8

48.

A set is a collection of specific, related and well-defined distinct objects.

a)

True

b)

False

49.

Set C is the set of whole numbers less than 9. Which of these is the correct C?

a)

C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

C = {1, 2, 3, 4, 5, 6, 7, 8}

d)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

50.

What does this symbol $\cap$ represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

51.

What type of set is denoted as either { } or ∅?

a)

Universal Set

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Complement of a Set

52.

A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

53.

How many subsets will this set have? A= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

54.

Which of the following is the symbol for "element of"?

a)

∅

b)

$\subset$

c)

$\in$

d)

$\not\subset$

55.

How do you write "the complement of" A?

a)

#A

b)

A

c)

$\forall$

d)

A'

56.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

{1, 2, 3, 4, 5, 6, 7, 8}

57.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

58.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

59.

Suppose A={factors of 20} and B={factors of 12}, what is $A\cap B$ ?

a)

{1, 2, 4}

b)

{1, 2, 3, 4, 5, 6, 10, 12, 20}

c)

{12, 20}

d)

{3, 5, 6, 10, 12, 20}

60.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to $\left(A\cup B\right)\cap C$ ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

61.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

62.

Find n(A) when
A = {14, 16, 18, 20, 22, 24}

a)

6

b)

12

c)

4

d)

8

63.

Which of the following means proper subset?

a)

$\subset$

b)

$\subseteq$

c)

$\in$

d)

=

64.

Which is the correct set notation for the complement of A union B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

65.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

66.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

67.

How many students took the survey?

a)

32

b)

47

c)

53

d)

56

68.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

69.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

70.

shade the required region

a)

b)

c)

71.

How many students participate in drama and music class?

a)

7

b)

9

c)

15

d)

16

72.

Which person takes all three classes?

a)

Mark

b)

Steph

c)

Bob

d)

Molly

73.

The venn diagram shows which sports are played by a class of students.

How many students are in the class?

a)

20

b)

25

c)

30

d)

35

74.

The venn diagram shows which sports are played by a class of students.

How many students are taking tennis?

a)

6

b)

11

c)

25

d)

30

75.

The venn diagram shows which sports are played by a class of students.

How many students are taking soccer?

a)

5

b)

9

c)

14

d)

16

76.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing both tennis soccer?

a)

1/6

b)

5

c)

20

d)

2/3

77.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing tennis or soccer?

a)

1/6

b)

5

c)

20

d)

2/3

78.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing neither tennis nor soccer?

a)

1/3

b)

10

c)

20

d)

2/3

79.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing tennis but not soccer?

a)

6

b)

11

c)

1/5

d)

1/6

80.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing soccer but not tennis?

a)

9

b)

14

c)

3

d)

3/10

81.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

How many friends are in the group?

a)

11

b)

6

c)

12

d)

7

82.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

How many friends have brown hair?

a)

3

b)

1

c)

4

d)

4/11

83.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having brown hair?

a)

3

b)

1

c)

4

d)

4/11

84.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

How many friends have green eyes?

a)

3

b)

1

c)

2

d)

3/11

85.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having green eyes?

a)

3

b)

1

c)

2

d)

3/11

86.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having both brown hair and green eyes?

a)

7/11

b)

5/11

c)

6/11

d)

3/11

87.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having neither brown hair nor green eyes?

a)

7/11

b)

5/11

c)

6/11

d)

3/11

88.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in the orchestra?

a)

16

b)

21

c)

31

d)

36

89.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in the band?

a)

20

b)

32

c)

35

d)

37

90.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in chorus, band, and orchestra?

a)

5

b)

9

c)

24

d)

15

91.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

What is the probability that a student is in both chorus and band?

a)

9/70

b)

9/54

c)

9/37

d)

5/54

92.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

What is the probability that a student is in the chorus but not the orchestra?

a)

10/70

b)

14/70

c)

14/50

d)

10/50

93.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

94.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

95.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

96.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

97.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

98.

Use Pythagorean Theorem to find one of the legs would be like
$a^2=c^2-b^2\ or\ a\ =\sqrt{c^2-b^2}$

a)

false

b)

true

99.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

100.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

101.

Find the length of the missing side. (Calculators are allowed)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

102.

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

103.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

104.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

105.

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? (Calculators are allowed)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

106.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

107.

How are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

NEI or Not Similar

108.

How are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

NEI or Not Similar

109.

How are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

NEI or Not Similar

110.

Given: PQ || BC. Find the length of AB.

a)

14

b)

11

c)

16

d)

18

111.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

112.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

113.

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.

a)

4 ft

b)

2 ft

c)

8 ft

d)

6ft

114.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

115.

Find the value of x

a)

14.7

b)

49.5

c)

22

d)

18

116.

Given the similar triangles,

the length of the median ( m ) $\approx$

a)

5

b)

5.6

c)

6

d)

6.2

117.

What is the Reasons for #2 and #3?

a)

#2 - Corresponding Angles

#3 - AA ~

b)

#2 - Reflexive

#3 - AA ~

c)

#2 - Reflexive

#3 - SAS ~

d)

#2 - Corresponding Angles

#3 - SAS ~

118.

What reasons complete the proof?

a)

Given, AA Similarity Postulate

b)

Vertical Angle Theorem, AA Similarity Postulate

c)

Reflexive Property, SAS Similarity Postulate

d)

Definition of Angle Bisector, SSS Similarity Postulate

119.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

120.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

121.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

122.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

123.

The term "corresponding" means ...

a)

congruent

b)

similar

c)

matching

d)

multiply

124.

What is true about the shape and size of similar figures?

a)

Same shape and same size

b)

Same shape and not the same size

c)

Different shape and same size

d)

Different shape and not the same size

125.

The term "congruent" means ...

a)

matching

b)

similar

c)

corresponding

d)

equal

126.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

127.

What is true about the angles of similar figures?

a)

Corresponding angles are proportional.

b)

Complementary angles are proportional.

c)

Corresponding angles are congruent.

d)

Complementary angles are congruent.

128.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

129.

The two parallelograms above are similar.
What is the length in inches of line segment PQ?

a)

40 in.

b)

34 in.

c)

38 in.

d)

14 in.

130.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

131.

$\Delta PQR\ is\ similar\ to\ \Delta STU$ What side corresponds to side UT?

a)

PQ

b)

RQ

c)

QR

d)

QP

132.

$\Delta ABC\ is\ similar\ to\ \Delta DEF$ Which proportion is true?

a)

$\frac{AB}{BC}=\frac{FE}{ED}$

b)

$\frac{AC}{DF}=\frac{AB}{DE}$

c)

$\frac{BC}{CA}=\frac{EF}{DE}$

d)

$\frac{AB}{BC}=\frac{DE}{FD}$

133.

Which proportion correctly shows the corresponding sides of the two similar figures?

a)

$\frac{BE}{BC}=\frac{DE}{AC}$

b)

$\frac{AC}{AB}=\frac{DE}{DA}$

c)

$\frac{BD}{BE}=\frac{AB}{AC}$

d)

$\frac{DE}{EB}=\frac{AC}{EC}$

134.

Which statement is true?

a)

$\angle A\ =\angle E$

b)

$\angle F=\angle B$

c)

$\angle E=\angle B$

d)

$\angle C=\angle D$

135.

Which angle corresponds with $\angle T$ ?

a)

$\angle U$

b)

$\angle Q$

c)

$\angle P$

d)

$\angle R$

136.

What side corresponds to AB ?

a)

XZ

b)

XY

c)

YZ

d)

AB

137.

Find missing side

a)

5

b)

7

c)

9

d)

11

138.

a)

TQ AND BE

b)

TS AND CD

c)

RS AND BC

d)

QR AND CD

139.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

140.

What is the length of US?

a)

22

b)

17

c)

31

141.

∠A =∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

142.

What does x equal?

a)

9

b)

11

c)

17

143.

If ∆LMK ≅ ∆LMT, then
MK= ____

a)

LM

b)

K

c)

MT

d)

LT

144.

Which shapes are congruent?

a)

b)

c)

d)

145.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

146.

Which angle is congruent to <C?

a)

<O

b)

<E

c)

<G

d)

<A

147.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

148.

$If\ \Delta MPQ\cong\Delta ABC$ then which of the following are corresponding parts?

a)

$\overline{PQ}$ and $\overline{AB}$

b)

$\angle M\ and\ \angle P$

c)

$\angle M\ and\ \angle B$

d)

$\overline{QM\ }and\ \overline{CA}$

149.

a)

x = 54, y = 63

b)

x = 117, y = 54

c)

x = 63, y = 54

d)

x = 117, y = 63

150.

(a)

151.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

152.

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)

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

153.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

154.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

155.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

156.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

IG Math G7 S2 Progress Review 2 Revision

Total questions: 156

Worksheet time: 5hrs 31mins

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