Free Printable Unit 7 Day 7 Practice- Translation

1.

Which of the following means translation?

a)

flip

b)

turn

c)

slide

d)

expand

2.

If point a were translated +7 in the x-direction and +3 in the y-direction, where would the point end up?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

3.

What best describes how the yellow triangle is translated to end up where the red triangle is?

a)

to the right 6 , up 10

b)

to the right 10, up 6

c)

to the right 7, up 11

d)

to the right 6, up 9

4.

Which pair of shapes shows a translation?

a)

b)

c)

d)

5.

Triangle A was translated to triangle B. How was it translated?

a)

+10 in x-direction , -3 in y-direction

b)

+ 10 in x-direction, -4 in y-direction

c)

+9 in x-direction , -3 in y-direction

d)

+11 in x-direction , -3 in y-direction

6.

How many units in the x-direction was the circle on the left translated? (Hint, use the circle's center.)

a)

+13

b)

+11

c)

+14

d)

+12

7.

A point originally located at (-1 , 3) was translated to the location (3 , 8) on the coordinate plane. What was the change in x and the change in y?

a)

+3 in the x-values and +5 in the y-values

b)

+2 in the x-values and +5 in the y-values

c)

+4 in the x-values and +5 in the y-values

d)

+5 in the x-values and + 5 in the y-values

8.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

9.

Which algebraic rule will produce a translation that is 5 units to the right?

a)

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

b)

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

c)

(x, y) --> ( x-2 , y + 5)

d)

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

10.

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

a)

(x + 2, y - 5)

b)

(x + 2, y - 9)

c)

(x - 2, y - 9)

d)

(x - 2, y + 9)

11.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

12.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

13.

Write the rule for this translation:

Slide 5 up and 7 right

a)

(x, y)---->(x + 5, y + 7)

b)

(x, y)-----> (x + 7, y + 5)

c)

(x, y)----> (x - 7, y + 5)

14.

Write the rule for this translation:
Slide 3 up and 2 right

a)

(x, y)---->
(x + 3, y + 2)

b)

(x, y)---->
(x+2, y + 3)

c)

(x, y)---->
(x - 2, y + 3)

15.

What is the algebraic representation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) -->

(x - 9, y + 3)

b)

(x, y) -->

(x + 9, y - 3)

c)

(x, y) -->

(x + 3, y - 9)

d)

(x, y) -->

(9x, 3y)

16.

When you translate, you ___________________ a number to x and y.

a)

Add or subtract

b)

Multiply or divide

c)

Add or multiply

d)

Subtract or divide

17.

Translation are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

18.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

19.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

20.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

21.

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

a)

True

b)

False

22.

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

a)

True

b)

False

23.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)

b)

c)

d)

24.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

25.

Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule

\left(x,\ y\right)\rightarrow\left(\frac{1}{4}x,\ \frac{1}{4}y\right)

to create pentagon M'N'P'Q'R'. Which statement is true?

a)

Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b)

Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c)

Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

d)

Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

26.

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?

a)

$\left(x,\ y\right)\rightarrow\left(0.5-x,\ 0.5-y\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x-7,\ y-7\right)$

c)

$\left(x,\ y\right)\rightarrow\left(\frac{5}{4}x,\ \frac{5}{4}y\right)$

d)

$\left(x,\ y\right)\rightarrow\left(0.9x,\ 0.9y\right)$

27.

A polygon is graphed on a coordinate grid with $\left(x,\ y\right)$ representing the location of a certain point on the polygon. The polygon is transformed using the rule $\left(x,\ y\right)\rightarrow\left(ax,\ ay\right)$ . Which statement must be true?

a)

If $a$ is greather than 1, the image of the polygon is congruent to the polygon.

b)

If $a$ is between 0 and 1, the image of the polygon is congruent to the polygon.

c)

If $a$ is greater than 1, the image of the polygon is smaller than the polygon.

d)

If $a$ is between 0 and 1, the image of the polygon is smaller than the polygon.

28.

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement is true?

a)

The area of the field is 6.4 times the area of the playground.

b)

The area of the field is 10.24 times the area of the playground.

c)

The perimeter of the field is 6.4 times the perimeter of the playground.

d)

The perimeter of the field is 10.24 times the perimeter of the playground.

29.

Quadrilateral $KMPT$ is dilated by a scale factor of

\frac{3}{4}

to create quadrilateral

K'M'P'T'

. The perimeter of quadrilateral

KMPT

is

x

units. What is the perimeter in units of quadrilateral

K'M'P'T'

?

a)

$x$ units

b)

$\frac{3}{4}x$ units

c)

$\left(\frac{3}{4}\right)^2x$ units

d)

$\frac{4}{3}x$ units

30.

Quadrilateral $ABCD$ was dilated with the origin as the center of dilation to create quadrilateral $A'B'C'D'.$ Which rule best represents the dilation that was applied to quadrilateral $ABCD$ to create quadrilateral $A'B'C'D'$ ?

a)

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

b)

$\left(x,\ y\right)\rightarrow\left(x+3,\ y+1.5\right)$

c)

$\left(x,\ y\right)\rightarrow\left(2.5x,\ 2.5y\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x-1.5,\ y+3\right)$

31.

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

a)

(x+2, y-5)

b)

(x-2, y+9)

c)

(x-2, y-9)

32.

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)

33.

Determine where T' would be if you translated T 3 units to the right and 6 units up.

a)

(5, 1)

b)

(2, -5)

c)

(-1, 1)

d)

(8, -2)

34.

How was B translated to B' if B' is at (4, -2)?

a)

Translated 6 units down

b)

Translated 2 units to the left and 6 units down

c)

Translated 2 units to the right and 6 units down

d)

Translated 2 units to the right

35.

How do you represent a translation Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(-x , -y)

d)

(ax, by)

36.

What is the algebraic rule?

a)

A

b)

B

c)

C

d)

D

37.

Which algebraic rule will produce a translation that is 5 units to the right?

a)

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

b)

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

c)

(x, y) --> ( x-2 , y + 5)

d)

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

38.

Translation are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

39.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

40.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

41.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

42.

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

43.

D(2, 6) is mapped to D'(4, 18). Which algebraic rule was applied to D?

a)

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

b)

(x, y) -> (2x, 3y)

c)

(x, y) -> (x+2, y+12)

d)

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

44.

Does a translation left/right go with x or y?

a)

x

b)

y

c)

z

d)

q

45.

Does a translation up/down go with x or y?

a)

x

b)

y

c)

z

d)

q

46.

If a shape is being translated to the left, will its algebraic rule have addition or subtraction?

a)

Addition

b)

Subtraction

c)

Division

d)

Multiplication

47.

If a shape is being translated to the right, will its algebraic rule have addition or subtraction?

a)

Addition

b)

Subtraction

c)

Division

d)

Multiplication

48.

If a shape is being translated up, will its algebraic rule have addition or subtraction?

a)

Addition

b)

Subtraction

c)

Division

d)

Multiplication

49.

If a shape is being translated down, will its algebraic rule have addition or subtraction?

a)

Addition

b)

Subtraction

c)

Division

d)

Multiplication

50.

Triangle XYZ is translated 3 units up and 4 units to the right to create triangle X'Y'Z'. Which rule describes this transformation?

a)

(x, y) --> (x + 4, y + 3)

b)

(x, y) --> (x + 3, y + 4)

c)

(x, y) --> (x - 3, y + 4)

d)

(x, y) --> (x - 4, y + 3)

51.

Quadrilateral ABCD is translated 10 units left and 2 units down to create quadrilateral A'B'C'D'. Which rule describes this transformation?

a)

(x, y) --> (x - 10, y - 2)

b)

(x, y) --> (x - 2, y - 10)

c)

(x, y) --> (x + 10, y - 2)

d)

(x, y) --> (x + 2, y + 10)

52.

Triangle RST is translated 6 units to the right and 4 units down to create triangle R'S'T'. Which rule describes this transformation?

a)

(x, y) --> (x + 6, y - 4)

b)

(x, y) --> (x - 6, y + 4)

c)

(x, y) --> (-6x, 4y)

d)

(x, y) --> (6x, -4y)

53.

Quadrilateral LMNO is translated 7 units left and 5 units up. Which rule describes the translation that was applied to quadrilateral LMNO to create quadrilateral L'M'N'O'?

a)

(x, y) --> (x - 7, y + 5)

b)

(x, y) --> (x + 7, y - 5)

c)

(x, y) --> (7x, -5y)

d)

(x, y) --> (-7x, 5y)

54.

Triangle PQR is translated 11 units left and 5 units down. Which rule describes the translation that was applied to triangle PQR to create triangle P'Q'R'?

a)

(x, y) --> (x - 11, y - 5)

b)

(x, y) --> (x - 5, y - 11)

c)

(x, y) --> (x + 11, y + 5)

d)

(x, y) --> (x + 5, y + 11)

55.

Triangle LMN is translated 6 units up and 0.5 units right. Which rule describes the translation that was applied to triangle LMN to create triangle L'M'N'?

a)

(x, y) --> (x + 0.5, y + 6)

b)

(x, y) --> (x + 6, y + 0.5)

c)

(x, y) --> (x - 6, y - 0.5)

d)

(x, y) --> (x - 0.5, y - 6)

56.

Triangle XYZ is translated 15 units down and 6 units right. Which rule describes the translation that was applied to triangle XYZ to create triangle X'Y'Z'?

a)

(x, y) --> (x + 6, y - 15)

b)

(x, y) --> (x - 15, y + 6)

c)

(x, y) --> (6x, -15y)

d)

(x, y) --> (-15x, 6y)

57.

Triangle RST is translated 24 units to the right and 9 units down to create triangle R'S'T'. Which rule describes this transformation?

a)

(x, y) --> (x + 24, y - 9)

b)

(x, y) --> (x - 9, y + 24)

c)

(x, y) --> (24x, -9y)

d)

(x, y) --> (-9x, 24y)

58.

Quadrilateral ABCD is translated 14 units down and 2 units left to create quadrilateral A'B'C'D'. Which rule describes this transformation?

a)

(x, y) --> (x - 2, y - 14)

b)

(x, y) --> (x - 2, y + 14)

c)

(x, y) --> (x + 2, y - 14)

d)

(x, y) --> (x + 2, y + 14)

Unit 7 Day 7 Practice- Translation

Total questions: 58

Worksheet time: 10hrs 40mins

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