Free Printable Optional EC Practice - Unit 9 Practice Part B

1.

Congruent figures are figures that are the SAME size and the SAME shape.

A dilation produces a congruent figure.

a)

True

b)

False

2.

In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.

Choose from the below words

pre-image

image

enlargement

reduction

spin

flip

3.

Which of the following statements is true about the scale factor (k) for this dilation?

a)

$k>1$

b)

$k=1$

c)

$0<k<1$

4.

In this figure, triangle ABC is the (a) and triangle A'B'C' is the (b) . The scale factor for this dilation is (c) . A(n) (d) occurred.

Choose from the below words

pre-image

image

2

reduction

enlargement

None of the above

1/2

5.

Quadrilateral NDPM was dilated to quadrilateral N'D'P'M'. What was the scale factor for this dilation?

a)

2

b)

3

c)

1/3

d)

1/2

6.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

7.

If triangle ABC was dilated by a scale factor of 3, with the origin as the center of dilation, what would the coordinates of B' be?

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

8.

What is the correct scale factor for this dilation?

a)

2.5

b)

1.5

c)

3.5

d)

4

9.

State the coordinates of point C after a dilation with a scale factor of 1/2 and center of dilation at point P.

a)

(-6, 1)

b)

(-3, -2)

c)

(1, -6)

d)

(-2, -3)

10.

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3, with the origin as the center of dilation, what are the coordinates of the vertices of the new image?

a)

A'(5,3), B'(6,2), C'(1,-2)

b)

A'(6,0), B'(9,-3), C'(-6,-15)

c)

A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

d)

A'(-1,-3), B'(0,-4), C'(-5,-8)

11.

State the coordinates of point B after a dilation, with the center of dilation at the origin, and a scale factor of 1/2.

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

12.

State the coordinates of point A after a dilation, with the center of dilation at (0,0), and a scale factor of 1/2.

a)

(2,2)

b)

(8,8)

c)

(0,12)

d)

(4,12)

13.

If the scale factor is between zero and one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

14.

The red triangle has been dilated by a scale factor of 1/4, with the center of dilation at (0,0), which triangle is it's new image?

a)

green triangle

b)

red triangle

c)

black triangle

d)

none of these

15.

Where is the center of dilation?

a)

(0, 0)

b)

(3, 1)

c)

(1, 1)

d)

(4, 3)

16.

What are the coordinates for the center of dilation?

a)

(0, 0)

b)

(4.5, 5.5)

c)

(3, 2)

d)

(6.5, 4)

17.

What are the coordinates for the center of dilation?

a)

(3, 0)

b)

(0, 0)

c)

(3, 1)

d)

(3, -2)

18.

What are the coordinates for the center of dilation?

a)

(0, 0)

b)

(-3, -1)

c)

(-12, 6)

d)

(-3, -3)

19.

Which of the following algebraic rules represents an enlargement? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

(x, y) --> (5x, 5y)

20.

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?

a)

$f\left(x,y\right)\ \rightarrow\left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

b)

$f\left(x,y\right)\rightarrow\left(3x,\ 3y\right)$

c)

$f\left(x,y\right)\ \rightarrow\left(x+14,\ y+6\right)$

d)

$f\left(x,y\right)\ \rightarrow\ \left(0x,\ 0y\right)$

21.

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

22.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

23.

Which of these segments could be an image of segment AB after a sequence of transformations? Check all that apply.

a)

CD

b)

GH

c)

JK

d)

LM

e)

NP

24.

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

25.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

26.

What is the sequence of transformations?

a)

Reflect over the y then reflect over the x

b)

Reflect over the x then reflect over the y

c)

Translate 4 units then rotate 90˚

d)

Rotate 90˚ then reflect over the x

27.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

28.

Which transformation rules create an image where distance is preserved? (the size/shape doesn't change) Select all that apply.

a)

$\left(x,\ y\right)\rightarrow\left(-x,\ y\right)$

b)

$\left(x,\ y\right)\rightarrow\left(2x,\ 2y\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+3,\ y\right)$

d)

$\left(x,\ y\right)\rightarrow\left(-y,\ x\right)$

e)

$\left(x,\ y\right)\rightarrow\left(0.4x,\ 0.4y\right)$

29.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)$ then reflected over the $y-axis?$

a)

$P'\left(-4,\ 1\right)$

b)

$P'\left(-4,\ -1\right)$

c)

$P'\left(1,\ -4\right)$

d)

$P'\left(-1,\ -4\right)$

30.

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x,\ y+3\right)$ then rotated $90\degree$ clockwise about the origin.

a)

$P'\left(-7,\ 6\right)$

b)

$P'\left(-7,\ -6\right)$

c)

$P'\left(6,\ -7\right)$

d)

$P'\left(6,\ 7\right)$

31.

What are the coordinates of point A' , the image of point A(-4, 1) after the composite transformation R₉₀ o r_y=x where the origin is the center of rotation?

a)

(-1, -4)

b)

(-4, -1)

c)

(1, 4)

d)

(4, 1)

32.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

33.

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis

a)

(3,1)

b)

(3, -1)

c)

(-1, 5)

d)

(-1, 3)

34.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

35.

Which graph above shows a dilation by scale factor 2?

a)

A

b)

B

c)

C

d)

D

36.

A dilation produces a similar figure

a)

True

b)

False

37.

A dilation produces a congruent figure

a)

True

b)

False

c)

D

38.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

39.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

40.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

41.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

42.

Which of the following is the algebraic representation for a dilation?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

43.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

44.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)$ then reflected over the $y-axis?$

a)

$P''\left(-4,\ 1\right)$

b)

$P''\left(-4,\ -1\right)$

c)

$P''\left(1,\ -4\right)$

d)

$P''\left(-1,\ -4\right)$

45.

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x,\ y+3\right)$ then rotated $90\degree$ clockwise about the origin.

a)

$P''\left(-7,\ 6\right)$

b)

$P''\left(-7,\ -6\right)$

c)

$P''\left(6,\ -7\right)$

d)

$P''\left(6,\ 7\right)$

46.

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

a)

right 2, down 5

b)

right 2, down 9

c)

left 2, up 9

d)

left 2, down 9

47.

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis

a)

(3,1)

b)

(3, -1)

c)

(-1, 5)

d)

(-1, 3)

48.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

49.

What is the translation rule that follows: T_<5,-9>

a)

Up 5, Left 9

b)

Right 5, Up 9

c)

Left 5, Down 9

d)

Right 5, Down 9

50.

When we do the following composition of translations we do (a) first:

( $R_m\degree R_{y-axis}$ ) ( $\Delta ABC$ )

51.

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

52.

What would the graph of y = 8 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

53.

What is the reflection of P(2, -6) over the line y = x

a)

(2, -6)

b)

(-2, 6)

c)

(6, -2)

d)

(-6, 2)

54.

If AA"=18, what is the distance between lines l and m?

a)

36

b)

9

c)

4.5

d)

72

55.

If AA"=8, what is the distance between lines l and m?

a)

16

b)

4

c)

32

d)

2

56.

If the distance between l and m is 12, then what is AA"?

a)

6

b)

24

c)

48

d)

3

57.

If AA"=10, what is the distance between lines l and m?

a)

2.5

b)

5

c)

10

d)

20

58.

Which type of isometry is the equivalent of two reflections in two horizontal lines?

a)

rotation

b)

reflection

c)

dilation

d)

translation

59.

Which type of isometry is the equivalent of two reflections in two parallel lines?

a)

translation

b)

reflection

c)

double rotation

d)

rotation

60.

Which type of isometry is the equivalent of two reflections in intersecting lines?

a)

translation

b)

reflection

c)

double rotation

d)

rotation

61.

Which type of isometry is the equivalent of two reflections along the x then the y axis?

a)

translation

b)

reflection

c)

double rotation

d)

rotation

62.

Select all that apply. The equation y= 0 is :

a)

the x-axis

b)

a horizontal line

c)

a vertical line

d)

the y-axis

63.

Select all that apply. What are the two transformations in a glide reflection?

a)

glide

b)

translation

c)

rotation

d)

reflection

e)

dilation

64.

Which rule would result in a reflection in the x-axis?

a)

(x, y) → (2x, 2y)

b)

x, y) → (x + 4, y + 4)

c)

(x, y) → (y, -x)

d)

(x, y) → (x, -y)

Optional EC Practice - Unit 9 Practice Part B

Total questions: 64

Worksheet time: 3hrs 32mins

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