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Worksheets

Coordinates - Transformation

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
2.

Rotate Point C 90 °\degree  Anti-Clockwise. What is the new point?

a)

(2, 2)

b)

(2, -2)

c)

(-2, -2)

d)

(-1, 6)

3.

Reflection along the x axis and find K'.

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

4.

Which answer shows a reflection along the x-axis?

a)

d

b)

c

c)

b

d)

a

5.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

360⁰

c)

90⁰ anti-clockwise

d)

180⁰

6.

How is trapezium ABCD translated to trapezium 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

7.
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)
8.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
9.
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
10.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
11.

Point P is graphed at (4,5) shown on the grid below. Point P is 90⁰ anti-clockwise to Point P'. What are the coordinates of P'?

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

12.

Relfect the image over the y-axis and then translate it 4 to the right and down 3. Which quadrants will the image be located in?

a)

Quadrant I and II

b)

Quadrant II and III

c)

Quadrant III and IV

d)

Quadrant I and IV

13.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

d)

Magnification

14.
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)
15.

Identify the transformation.

a)

Reflection along y-axis

b)

90 Rotation anti-clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

16.

How many degrees was the figure rotated?

a)

90 degrees anti-clockwise

b)

180 degrees

c)

90 degrees clockwise

d)

360 degrees

17.

Which rule describes the action of the coordinates when a figure is reflected over the x-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

18.

Which rule describes the action of the coordinates when a figure is rotated 90o anti-clockwise about the origin?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, -y)

c)

(x, y)→(-y, x)

d)

(x, y)→(x, -y)

19.
What is the image for the point (5, 5) and the rule (x + 2, y-3)?
(X, Y)
a)
(7, 2)
b)
(7, -4)
c)
(3, 2)
20.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2