Transformations Worksheet

Name:

1. Parallelogram ABCD was translated toparallelogram AB'C'D'.

Date:

2. A shape is shown below.

Which shows this shape transformed by a flip?

How many units and in which direction were thex-coordinates of parallelogram ABCD moved?

A. 3 units to the right B. 3 units to the left

C. 7 units to the right D. 7 units to the left

page 1

Joanne and Christopher are designing a quilt. They start by creating a triangle shape in the lower left quadrant as

shown below.

-4-3-2 -I-I 12345

They transform it by rotating the triangle shown above 900 clockwise about the origin. What does the new designlook like?

1 23 4

12-3 4T 6

page 2

-4 -2-1-1 1.2.3 4

4 -3 =2 -

-1

fransformations Worksheet

4. Alyssa made the design shown below.

Which transformation could be used to show thatfigure A is congruent to figure B?

A. add 5 to each x-coordinate

B. multiply each y-coordinate by —1

C. multiply each x-coordinate by —1

D. rotate the figure 90 degrees about the origin

page 3 Transformations Worksheet

5. Which graph shows a reflection of the rectangle across the horizontal dotted line?

page 4 fransformations Worksheet

6· Polygon A 、Ⅱ be rotated counter-clockwise 90 about point P to form polygon勹

4

page 5 Transformations Worksheet

7 · Which of the followmg is a single reflection of figure N over the y-axis to form N'?

4

page 6 fransformauons Worksheet

8. Which figure shows the triangle below reflected over the x-axis, then reflected over the y-axis?

page 7 fransformations Worksheet

9. Figure EFGH in the coordinate plane has vertices 10.at (-5, 2), (-5, -2), (-1, -2), and (-1, 2).

If the figure is translated 5 units to the rightand 2 units up, what are the coordinates of theE'F'G'H'?

A.

B.

c. (-10, o), (-10, 4), (-6, -4), (-6, o)

D.11.

page 8

Triangle RST is shown in the coordinate plane.

-7)

What are the coordinates of R'S'T' if the figure is

reflected over the x-axis and translated down two

units?

A.

c.

D.

The shaded piece has been transformed into afrieze pattern.

Which transformations best describe how thepattern was created?

A. reflections

B. translations

C. reflections and rotations

D. translations and rotations

Transformations Worksheet

12. Which of the following transformations always 15.preserves the dimensions of a figure?

I. translation

Il. rotation

Ill. reflection

IV. dilation

A. 1, 11, and 111

c. 1, 111, and IV

B. I, Il, and IV

D. 11, 111, and IV

13. What is the apparent image of X when triangleWXY is translated 2 units down and 5 units right?

16.

A. (1,3) B. (3, 1) C. (4,6) D. (6,4)

14. If a polygon is translated, which of the followingcharacteristics of the polygon are the same?

I. Side lengths

Il. Area

Ill. The coordinates of the vertices.

A. 1, 11, 111

c. 1 and 111

B. 11 and 111

D. I and Il

page 9

If trapezoid KLMN shown below is reflected acrossthe x-axis to form trapezoid K'L'M'N', what arethe apparent coordinates of M'?

AXYZ is translated 3 units to the right and 2 unitsdown.

What will be the apparent coordinates of theimage of point X?

A. (0,8) B. (3,5) C. (5,3) D. (8,0)

Transformations Worksheet

17. Figure EFGH has a perimeter of 40 cm and anarea of 96 cm2 . It is dilated by a factor of å tocreate figure E'F'G'H'. What statement about theperimeter (P) and the area (A) of figure E'F'G'H'is true?

A. P = 10 cm; A = 6 cm2

B. P = 10 cm; A = 24 cm2

P = 160 cm; A = 192 cm2

D. P = 160 cm; A = 384cm 2

18. Triangle PQR is shown.

9

8

7

6

5

4

3

2

xC 1 7 89

What are the coordinates of P' when APQR isdilated by a scale factor of 3 using the origin as

A.

B.

C.

D.the center?

A. (6, 18) B. (3, (23-,3 D. (18, 6)

page 10

19.

20.

21.

Study AIRST on the grid below.

4

3

2

1

-5 -4 -3 2 4 5

-2 s

When ARST is translated 4 units down, what arethe apparent coordinate of T' ?

A polygon has been rotated about the origin.Which statement must be true?

The lengths of the sides are doubled.

The area of the polygon did not change.

The coordinates of the vertices did not change.

The area of the polygon is 4 Times its originalarea.

Three transformations will be performed ontriangle ABC. Which set of transformations willalways produce a congruent triangle?

A. dilation, rotation, translation

B. reflection, dilation, translation

C. rotation, reflection, dilation

D. rotation, translation, reflection

Transformations Worksheet