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Worksheets

Transformations

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

Triangle ABC is rotated 90 degrees clockwise about the origin, what are the coordinates of A’?

a)

(3,-6)

b)

(2,-1)

c)

(6,-4)

d)

(-2,1)

2.

Shape ABCD is rotated 180 degrees about the origins, what are the coordinates of C’?

a)

(4,-1)

b)

(1,4)

c)

(4,-7)

d)

(8,-3)

3.

The earth is rotating around the sun. If the sun is represented at point (1,1) and the Earth begins at point (5,1), what point will the earth be at after a quarter of a year? (the earth rotates counter clockwise, assume it rotates in a perfect circle)

a)

(1,-3)

b)

(1,5)

c)

(5,1)

d)

(-3,1)

4.

A piece of gum is stuck to the bottom of a bike tire. The tire moves a half turn. If the center of the wheel is the origin and the gum is represented by the point (-4,-1), what is the new coordinate of the gum after the turn?

a)

(4,1)

b)

(1,-4)

c)

(1,4)

d)

(-1,4)

5.

Which translation moves triangle ABC onto triangle A’B’C’?

a)

(x,y)->(x+4,y-2)

b)

(x,y)->(x-4,y+2)

c)

(x,y)->(x+2,y-4)

d)

(x,y)->(x-2,y+4)

6.

Which translation moves square ABCD onto square A’B’C’D’?

a)

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

b)

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

c)

(x,y)->(x+2,y-1)

d)

(x,y)->(x-1,y+2)

7.

Jane has a rectangle garden on her land, that she wants to move down 5 feet and to the right 3 feet. If her property is represented on the graph, what would the coordinates be of the new location of the garden? Each unit on the graph has a length and width of 1 foot. The current coordinates are (-6,8),(-2,8),(-2,3) and (-6,3)

a)

(-11,11), (-7,11),(-7,6) and (-11,6)

b)

(-9,3),(-5,3),(-5,-2) and (-9,-2)

c)

(-9,11),(-5,11),(-5,6) and (-9,6)

d)

(-3,3), (1,3),(1,-2) and (-3,-2)

8.

Quadrilateral ABCD moves on to Quadrilateral A’B’C’D’ through the rule (x,y)->(x+7,y-3). If the coordinates of ABCD are (1,1), (6,1), (6,6), and (1,6), what are the coordinates of A'B'C'D'?

a)

(-6,-2), (-1,-2), (-1,3), and (-6,3)

b)

(8,-2), (13,-2), (13,3), and (8,3)

c)

(8,4), (13,4), (13,9), and (8,9)

d)

(-6,4), (-1,4), (-1,9), and (-6,9)

9.

What are the types of transformations?

a)

Transformation, rotation, reflection, dilation

b)

Rotation, reflection, translation

c)

translation, rotation, reflection, dilation

d)

Rotation, reflection, transformation

10.

Which of these is not a rigid transformation?

a)

Rotation

b)

Dilation

c)

Reflection

d)

translation

11.

There is a plot of land that Mr. Smith owns. It is circle shaped and has a radius of 20 feet. The center of his land is located on a graph at point 0,0. His land grew by a scale factor of 2 about the center. What would the radius of this new land be?

a)

80 feet

b)

40 feet

c)

10 feet

d)

20 feet

12.

If triangle ABC is dilated by a scale factor of 0.5 about the origin where would point A’ be?

a)

(4,1)

b)

(4,16)

c)

(1,4)

d)

(16,4)

13.

If square ASDF is dilated by a scale factor of 2 into square A’S’D’F’ what point was it dilated about?

a)

(-1,-1)

b)

(1,1)

c)

(1,2)

d)

(2,1)

14.

Circle C undergoes a dilation about the origin and becomes circle C’. What is the scale factor?

a)

0.5

b)

10

c)

2

d)

5

15.

Lily builds a house on an island in the middle of the lake. The house’s height is reflected in the water. The house is 27 feet tall at its highest point. The highest point of it on a graph would be located at (25,27). Where on a graph would the top of the house on the reflection be located? (the ground and the lake meet at the x axis)

a)

(25,-27)

b)

(-27,25)

c)

(-25,27)

d)

(27,25)

16.

If triangle ABC is reflected across the x axis where would point A’ be located?

a)

(2,7)

b)

(-2,7)

c)

(7,2)

d)

(-7,-2)

17.

If quadrilateral GHFD is reflected across the y axis where would point F’ be located?

a)

(7,-7)

b)

(7,6)

c)

(-7,-7)

d)

(-7,7)

18.

If triangle RED went through a reflection and became triangle R’E’D’ what axis was it reflected across?

a)

x axis

b)

y axis

c)

This is not a relfection

d)

It was not relected accross an axis

19.

What do all transformations do?

a)

Move shapes around

b)

Change the size of shapes

c)

Map one set of points onto another set of points

d)

Change one shape into another

20.

Which it these is not something that a transformation does?

a)

enlarge or reduce a figure

b)

turn a figure about a fixed point

c)

flip of a figure over a line

d)

change the shape of a figure