Free Printable OLD Ch 6 & 7 Review - Similarity and Quadrilaterals

1.

What is the equation for the axis of symmetry of the parabola? Do not type spaces.

(a)

2.

Use the "axis of symmetry formula" to find the vertex of the parabola. Write your answer as an ordered pair (x,y)

$y=3x^2-12x+5$

(a)

3.

What is the equation for the axis of symmetry of the parabola? Do not type spaces.

$y=3x^2-12x+5$

(a)

4.

What is the vertex for the parabola? Write your answer as an ordered pair (x,y). Do not type spaces.

(a)

5.

What is the equation for the axis of symmetry for the pictured parabola? Do not type spaces.

(a)

6.

What is the vertex for the pictured parabola? Write as an ordered pair (x,y). Do not type spaces.

(a)

7.

What is the equation for the axis of symmetry for the given quadratic? Do not type spaces.

$y=2x^2-8x+9$

(a)

8.

SAT Question: Find the vertex of the given quadratic function. What is the product of the x and y value? Do not type spaces.

$y=2x^2-8x+19$

(a)

9.

What is the equation for the axis of symmetry for the given parabola? Do not type spaces.

(a)

10.

What is the vertex for the given parabola? Write as an ordered pair (x,y). Do not type spaces.

(a)

11.

SAT Question: Find the vertex of the quadratic function. Then find the sum of the x and y value. Do not type spaces.

$y=6x^2-12x+7$

(a)

12.

What is the vertex of the following quadratic function? Write your answer as an ordered pair (x,y). Do not type spaces.

$y=6x^2-12$

(a)

13.

What is the vertex of the following quadratic function? Write your answer as an ordered pair (x,y). Do not type spaces.

$y=6x^2-12x$

(a)

14.

What is the vertex of the given quadratic function? Write your answer as an ordered pair (x,y). Do not type spaces.

$y=x^2-8x+4$

(a)

15.

What is the vertex of the given quadratic function? Write your answer as an ordered pair (x,y). Do not type spaces.

$y=x^2+4x$

(a)

16.

What is the vertex of the given quadratic function? Write your answer as an ordered pair (x,y). Do not type spaces.

$y=x^2+4$

(a)

17.

What is the equation of the axis of symmetry for the given quadratic function? Do not type spaces.

$y=x^2-8x+4$

(a)

18.

What is the equation of the axis of symmetry for the given quadratic function? Do not type spaces.

$y=x^2+4$

(a)

19.

What is the equation of the axis of symmetry for the given quadratic function? Do not type spaces.

$y=x^2+4x$

(a)

20.

What is the equation of the axis of symmetry for the given quadratic function? Do not type spaces.

$y=6x^2-12x$

(a)

21.

What is the vertex of the given quadratic function? Write as an ordered pair (x,y). Do not type spaces.

(a)

22.

What is the equation of the axis of symmetry for the given quadratic function? Do not type spaces.

(a)

23.

What is the vertex of the given quadratic function? Write as an ordered pair (x,y). Do not type spaces.

(a)

24.

What is the equation of the axis of symmetry for the given quadratic function? Do not type spaces.

(a)

25.

Which graph is a quadratic function that has a range of R:{y<=-2}?

a)

b)

c)

d)

e)

26.

What is the range of the following quadratic function? Use correct notation. Do not type spaces.

$y=-3x^2-6x-13$

(a)

27.

What is the range for the given quadratic function? Use correct notation. Do not type spaces.

$y=-x^2-8x+1$

(a)

28.

What is the range of the quadratic function? Use correct notation. Do not type spaces.

(a)

29.

What is the range of the quadratic function? Use correct notation. Do not type spaces.

(a)

30.

What is the range for the given quadratic function? Use correct notation. Do not type spaces.

$y=4x^2-8x+7$

(a)

31.

Select all that have a negative "a" value

a)

$y=\left|x-2\right|+3$

b)

$y=-\left|x+2\right|+3$

c)

d)

e)

$y=\frac{2}{3}\left|x\right|$

32.

Select all that have a vertex of (2,3)

a)

$y=\left|x-2\right|+3$

b)

$y=-\left|x+2\right|+3$

c)

d)

e)

$y=\frac{2}{3}\left|x\right|$

33.

Select all that have a vertex of (0,3)

a)

$y=\left|x-1\right|+3$

b)

$y=\frac{1}{4}∣x∣+3$

c)

$y=\left|x+3\right|$

d)

e)

34.

Select all that have positive "a" value.

a)

$y=\left|x-3\right|$

b)

$y=\frac{1}{4}\left|x\right|+3$

c)

$y=\frac{-2}{5}\left|x+3\right|$

d)

e)

35.

Which graph matches the equation?

$y=\frac{1}{4}\left|x-1\right|$

a)

b)

c)

d)

36.

Which graph matches the equation?

$y=\frac{1}{4}\left|x-1\right|$

a)

b)

c)

d)

37.

Which graph matches the equation?

$y=\frac{-1}{4}\left|x-1\right|$

a)

b)

c)

d)

38.

What is the vertex of the absolute value function? Write as an ordered pair (x,y).

$y=\frac{2}{3}\left|x-1\right|+5$

(a)

39.

What is the vertex of the absolute value function? Write as an ordered pair (x,y).

$y=\frac{2}{3}\left|x+1\right|+5$

(a)

40.

What is the vertex of the absolute value function? Write as an ordered pair (x,y).

$y=-4\left|x-2\right|-3$

(a)

41.

What is the vertex of the absolute value function? Write as an ordered pair (x,y).

$y=-4\left|x+2\right|-3$

(a)

42.

What is the equation for the axis of symmetry?

43.

What is the vertex for the given quadratic function?

(a)

44.

What is the equation for the axis of symmetry for the given quadratic function?

$f\left(x\right)=-2x^2-12x+5$

45.

What is the vertex for the given quadratic function?

$f\left(x\right)=-2x^2-12x+5$

(a)

46.

Match the following

a)

1.

Quadratic function with a positive a coefficient

b)

2.

Quadratic function with a negative a coefficient

c)

3.

Absolute Value function with a positive a coefficient

d)

4.

Absolute Value function with a negative a coefficient

e)

5.

Not a function

47.

Match the following

a)

$x=1$

1.

Not a function

b)

$y=x^2-3x-9$

2.

Quadratic function with a positive a coefficient

c)

$y=-2x^2+4x+8$

3.

Quadratic function with a negative a coefficient

d)

$y=\left|x-1\right|-2$

4.

Absolute value function with a positive a coefficient

e)

$y=-3\left|x+4\right|+1$

5.

Absolute value function with a negative a coefficient

48.

Which of the following are quadratic functions with a vertex of (-1,2)? Select all that apply.

a)

$y=-3\left(x-1\right)^2+2$

b)

$y=4\left(x+1\right)^2+2$

c)

$y=-5\left(x-2\right)^2-1$

d)

e)

49.

Match the following equations to the correct vertex

a)

$f\left(x\right)=-2\left(x-1\right)^2+3$

1.

(1,3)

b)

$g\left(x\right)=-2\left(x+1\right)^2+3$

2.

(-1,3)

c)

$h\left(x\right)=-2\left(x-1\right)^2-3$

3.

(1,-3)

d)

$j\left(x\right)=-2\left(x+1\right)^2-3$

4.

(-1,-3)

50.

What is the range of the given function?

$y=-4\left(x-3\right)^2+5$

(a)

51.

What is the range of the given function?

$y=3\left(x+6\right)^2-2$

(a)

52.

Match the following quadratic functions to the correct range.

a)

$y=\left(x-2\right)^2+3$

1.

R:{y>=3}

b)

$y=6\left(x-2\right)^2-3$

2.

R:{y>=-3}

c)

$y=-5\left(x+2\right)^2+3$

3.

R:{y<=3}

d)

$y=-4\left(x+2\right)^2-3$

4.

R:{y<=-3}

53.

Which graph represents the given equation?

$f\left(x\right)=-\left(x+2\right)^2-1$

a)

b)

c)

d)

54.

Which equation represents the given graph?

a)

$y=-\left(x+2\right)^2$

b)

$y=\left(x+2\right)^2$

c)

$y=-\left(x-2\right)^2$

d)

$y=\left(x-2\right)^2$

55.

Which of the following have a range of

$R:\left\{y\le-1\right\}$

a)

$f\left(x\right)=-2\left(x-1\right)^2$

b)

$g\left(x\right)=-3\left(x+5\right)^2-1$

c)

$h\left(x\right)=-\left(x-4\right)^2-1$

d)

e)

56.

The polygons are similar. Solve for x. do not type x=

(a)

57.

The polygons are similar. Solve for x. do not type x=

(a)

58.

The polygons are similar. Find PS.

(a)

59.

The polygons are similar. Find the perimeter of PQRS.

(a)

60.

Finish the similarity statement

ADCB~

(a)

61.

The triangles are similar. Find x. Do not type x=

(a)

62.

The triangles are similar. Find x. Do not type x=

(a)

63.

The polygons are similar. Finish the similarity statement.

JKLM~

(a)

64.

The polygons are similar. Finish the similarity statement.

ABC~

(a)

65.

The polygons are similar. Solve for x. do not type x=

66.

The polygons are similar. Solve for x. do not type x=

(a)

67.

The polygons are similar. Finish the similarity statement.

CDEAB~

(a)

68.

The polygons are similar. Find the perimeter of PQRST

(a)

69.

The triangles are similar. Solve for x. Do not type x=

(a)

70.

The triangles are similar. Solve for ED

(a)

71.

The triangles are similar. Solve for x. Do not type x=

(a)

72.

The triangles are similar. Solve for JL

(a)

73.

The triangles are similar. Solve for x. Do not type x=

(a)

74.

The triangles are similar. Solve for QP

(a)

75.

The triangles are similar. Solve for x. Do not type x=

(a)

76.

The triangles are similar. Solve for HG

(a)

77.

△ABC~△FED. Solve for x. Do not type x=

(a)

78.

△ABC~△FED. Solve for BC.

(a)

79.

Choose all proportions that would find the value of x.

a)

b)

c)

d)

80.

Complete the proportion.
$\frac{XV}{VZ}=\frac{XU}{?}$

(a)

81.

Choose the proportion that would NOT prove line MN is parallel to line LJ.

a)

b)

c)

d)

82.

If QS is an angle bisector, solve for x.

(a)

83.

Find the missing length indicated. Do not type x=

(a)

84.

Solve for x. Do not type x=

(a)

85.

The triangles are similar. How tall is the statue? Do not type x= or units.

(a)

86.

Find the missing length indicated. Do not type x=

(a)

87.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

88.

Solve for x. Do not type x=

(a)

89.

Solve for AB. Do not type =

(a)

90.

Solve for x. Do not type x=

(a)

91.

Solve for x. Do not type x=

(a)

92.

Solve for x. Do not type x=

(a)

93.

Solve for y. Do not type y=

(a)

94.

Solve for CE. Do not type =

(a)

95.

Solve for CB. Do not type =

(a)

96.

Solve for x. Round to the tenth. Do not type x=

(a)

97.

Solve for r. Do not type r=

(a)

98.

Solve for x. Do not type x=

(a)

99.

Solve for n. Round to the tenth. Do not type n=

(a)

100.

Solve for x. Round to the tenth. Do not type x=

(a)

101.

What is the sum of the interior angles for a 24-gon?

(a)

102.

What is the value of x? Round to the tenth. Do not type x=.

(a)

103.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

(a)

104.

Find the value of X

(a)

105.

Find the measure of EACH INTERIOR angle.

a)

A

b)

B

c)

C

d)

D

106.

Find the value of x. Do not type x=

(a)

107.

What is the measure ONE EXTERIOR angle of an 11-gon? Round to the tenth.

(a)

108.

Solve for x. Do not type x=

(a)

109.

Solve for y. Do not type y=

(a)

110.

Solve for x. Do not type x=

(a)

111.

Solve for <E

(a)

112.

Solve for x. Do not type x=

(a)

113.

Solve for m<A

(a)

114.

Solve for x. Do not type x=

(a)

115.

Solve for m<N

(a)

116.

Solve for x. Do not type x=

(a)

117.

Solve for m<G

(a)

118.

Crystals are classified according to seven crystal systems. The basis of the classification is the shapes of the faces of the crystal. Turquoise belongs to the triclinic system. Each of the six faces of turquoise is in the shape of a parallelogram. Find the sum of the measures of the interior angles of one such face.

(a)

119.

In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This room is shaped like a regular octagon. What angle do consecutive walls of the Tribune make with each other?

(a)

120.

(a)

121.

(a)

122.

All figures given are parallelograms EXCEPT for?

a)

b)

c)

d)

123.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

124.

The figure is a parallelogram.
Solve for x.

a)

7

b)

1

c)

5

d)

2

125.

Solve for x. Do not type x=

(a)

126.

Solve for y. Do not type y=

(a)

127.

The figure is a parallelogram. Solve for x. Do not type x=.

(a)

128.

The figure is a parallelogram. Solve for y. Do not type y=.

(a)

129.

The figure is a parallelogram. Solve for y. Do not type y=.

(a)

130.

The figure is a parallelogram. Solve for x. Do not type x=.

(a)

131.

The figure is a parallelogram. Solve for a. Do not type a=.

(a)

132.

The figure is a parallelogram. Solve for b. Do not type b=.

(a)

133.

The figure is a parallelogram. Solve for x. Do not type x=.

(a)

134.

The figure is a parallelogram. Solve for y. Do not type y=.

(a)

135.

The figure is a parallelogram. Solve for y. Do not type y=.

(a)

136.

The figure is a parallelogram. Solve for x. Do not type x=.

(a)

137.

(a)

138.

(a)

139.

(a)

140.

(a)

141.

Given Rhombus TUVW. Find m∠2.

a)

62

b)

28

c)

90

d)

78

142.

Given Rhombus TUVW. Find m∠4.

a)

62

b)

28

c)

90

d)

78

143.

The figure is a rhombus.
Solve for x.

a)

1

b)

11

c)

7

d)

6

144.

If m∠EBC is 54° what is the m∠CDB?

a)

54°

b)

27°

c)

108°

d)

36°

145.

Find y.

a)

2

b)

4

c)

15

d)

10

146.

If BA=5x+5 and AD=10x-20, find BD.

a)

60

b)

30

c)

5

d)

10

147.

Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.

a)

39

b)

4

c)

4.8

d)

-4

148.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

149.

a)

90

b)

45

c)

30

d)

180

150.

If the figure is a rectangle, the value of x is...

a)

2

b)

12

c)

13

d)

28

151.

The figure is a trapezoid. Solve for x.

a)

17

b)

29

c)

20

d)

19

152.

The figure is a trapezoid. Solve for x.

a)

9

b)

23

c)

10

d)

12

153.

The figure is a trapezoid. Solve for x.

a)

8

b)

21

c)

10

d)

12

154.

The figure is a trapezoid. Find the value of x.

a)

4

b)

6

c)

5

d)

129

155.

Find the value of AD.

AD= 3x+4, BC= 8x-11

a)

13

b)

3

c)

23

d)

no idea

156.

Find the measure of ∠3:

a)

90°

b)

42°

c)

48°

d)

24°

157.

(a)

158.

(a)

159.

(a)

160.

(a)

161.

(a)

162.

(a)

163.

(a)

164.

(a)

165.

(a)

166.

Round to the tenth.

(a)

167.

(a)

168.

Round to the tenth.

(a)

169.

Select all that are true.

a)

CD // EF

b)

CF // DE

c)

All four sides are congruent.

d)

$CF\cong DE$

e)

$CD\cong EF$

170.

ABCD is an isosceles trapezoid. Select all that are true.

a)

AB // CD

b)

BC // AD

c)

BD and AC are perpendicular

d)

$BC\cong AD$

e)

$AB\cong CD$

171.

(a)

172.

Round to the tenth.

(a)

173.

Round to the tenth.

(a)

OLD Ch 6 & 7 Review - Similarity and Quadrilaterals

Total questions: 173

Worksheet time: 3hrs 33mins

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