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Cumulative Quiz #1 REVIEW

Total questions: 50

Worksheet time: 38mins

Name
Class
Date
1.

What is a rigid transformation?

a)

A transformation that doesn't move.

b)

A transformation that preserves size and shape.

c)

A transformation that moves back to it's original spot.

d)

A transformation that changes shape and size.

2.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
3.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
4.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

5.

If the image (7,2) was obtained by translating vertically 2 units and horizontally -5 units, what is the pre-image?

a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)

(12,0)

6.
Reflect (3,5) over the y-axis.
a)
(2,2)
b)
(3,-5)
c)
(-3,-5)
d)
(-3,5)
7.

Choose the correct transformation:

(x, y) −> (−y, x)\left(x,\ y\right)\ ->\ \left(-y,\ x\right)

a)

Reflection across the x-axis

b)

270 CCW degree rotation

c)

Reflection across the y-axis

d)

90 CCW degree rotation

8.

What is the rule for rotating a figure 180 degrees

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

9.

What is the rule for rotating a figure 270 degrees counterclockwise

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

10.

What is the angle of rotation for this counter-clockwise rotation about the origin?

a)
90°
b)
180°
c)
270°
d)
360°
11.

What is the angle of rotation for this clockwise rotation about the origin?

a)
90°
b)
180°
c)
270°
d)
360°
12.

If you were to rotate ABCD 180° about the origin and B = (0,0), what would the coordinates of B' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-1, 3)

d)

(-6, 2)

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.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
15.

Describe the translation. f(x, y)=...

a)

(x + 2,y - 5)

b)

(x - 2,y - 9)

c)

(x + 2,y - 9)

d)

(x - 2,y + 9)

16.

Triangle QRS contains the points Q(4,2) R(5,1) S(3,7). If the triangle is reflected across the x axis, what will S' be?

a)

(-3,7)

b)

(7,3)

c)

(3,-7)

d)

(-7,3)

17.

Which answer describes the following transformation?

a)

Reflection about y = x

b)

Rotation 270⁰ CCW

c)

Reflection about y = -x

d)

Rotation 90⁰ CCW

18.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

19.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

20.
What does VUX stand for?
a)
Vertical line, Undefined slope, x= for the equation
b)
Vertical line, zero slope, x = y for the equation
c)
Vertical line, undetermined slope, x + 2 = 0
d)
Victory, Undefined slope, x = y for equation
21.
What does HOY stand for?
a)
Horizontal line, zero slope, y= # for equation
b)
Horizontal line, original slope,  y = # for equation
c)
Horizon, undefined slope, y = # for equation
d)
Horizontal line, zero slope, y = x for equation
22.
What is the rule for the following reflection? 
a)
Reflection across       y = −2
b)
Reflection across        x = −2
c)
Reflection across            x = 2
d)
Reflection across          y = 2
23.
What is the rule for the following reflection? 
a)
Reflection across       y = −2
b)
Reflection across        y = 2
c)
Reflection across            x = 2
d)
Reflection across          x =  −2
24.
What is the rule for the following reflection? 
a)
Reflection across       y = −1
b)
Reflection across        y = 1
c)
Reflection across            x = −1
d)
Reflection across          x = 1
25.

What is the equation of the line that passes through the point (-2, 7) and has a slope of zero?

a)

y= -2

b)

y=7

c)

x= -2

d)

x=7

26.

Which graph represents the function

x = -3?

a)
b)
c)
d)
27.

A rotation of the line y = -5 CCW 270⁰ results in the following equation...

a)

x = -5

b)

y = 5

c)

x = 5

d)

y = -5

28.

A rotation of the line x = 7 CCW 90⁰ results in the following equation...

a)

y = -7

b)

x = 7

c)

y = 7

d)

x = -7

29.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
30.

Dilate Point B by a scale factor of 3 about the origin:

a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
31.

Identify the type of dilation for the scale factor k=1/2.

a)

Reduction

b)

Enlargement

c)

Isometry

d)

None of these

32.

Identify the type of dilation given the scale factor k=5/4

a)

Reduction

b)

Enlargement

c)

Isometry

d)

None of these

33.

In the coordinate plane, segment PQ is the result of a dilation of segment XY by a scale factor of 1/2.


Which point is the center of dilation?

a)

( -4, 0 )

b)

( 0, -4 )

c)

( 0, 4 )

d)

( 4, 0 )

34.

A figure has _______ symmetry when a line (or lines) divide the shape into two equal parts.

a)

Line

b)

Rotational

c)

Point

35.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
36.
a)

Is symmetrical

b)

not symmetrical

37.
a)

is symmetrical

b)

not symmetrical

38.

Which of the following letters does not have line symmetry, but has rotational symmetry:

a)
H
b)
I
c)
Z
d)
X
39.

Which letter would be the same after a 180⁰ rotation at its center?

a)

Z

b)

P

c)

L

d)

E

40.

If you reflect the point (1, -2) about the line x = -y, what is the new point? Hint: Change the equation to "y = "

a)

(2, 1)

b)

(2, -1)

c)

(-2, 1)

d)

(-2, -1)

41.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
42.

Solve the equation for x:

5x2 - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

43.

Simplify the following radical: 49\sqrt[]{49}

a)

6

b)

7

c)

8

d)

9

44.

Simplify the following radical: 96\sqrt[]{96}

a)

16616\sqrt[]{6}

b)

262\sqrt[]{6}

c)

464\sqrt[]{6}

d)

3123\sqrt[]{12}

45.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
46.

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)

47.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
48.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
49.

Find the quotient of 14 and 2

a)

16

b)

28

c)

12

d)

7

50.
2 times the difference of t and 11
a)
2t - 11
b)
2(t - 11) 
c)
2(t / 11)
d)
2 x t - 11

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