Free Printable Transformations on co-ordinate plane

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Transformations on co-ordinate plane

Total questions: 22

Worksheet time: 1hrs 13mins

Name

Class

Date

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

Translation

Reflection across the x-axis

Reflection across the y-axis

90^o counter clockwise rotation

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

(x+8, y+4)

(x-8, y-4)

(x+4, y+8)

(x-4, y-8)

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

90^o clockwise rotation

90^o counter clockwise rotation

Reflection across the y-axis

Reflection across the x-axis

Which rule would result in a translation of 2 units left and 3 units up?

(x, y) → (2x, 3y)

(x, y) → (x - 2, y + 3)

(x, y) → (-x, -y)

(x, y) → (x + 2, y - 3)

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

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

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

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

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

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

(X,Y) -> (-X, Y)

(X,Y) -> (X, -Y)

(X,Y) -> (6X, 6Y)

(X,Y) -> (X + 6, Y + 4)

State the line of reflection.

Reflection across y-axis

Reflection across x-axis

Reflection across x = 1

Reflection across y = 1

Reflect Point C over the y-axis:

(-3, 2)

(3,2)

(-2,3)

(3,0)

Reflect over x-axis. Which point would be at (3, -6)

10.

Level 1: When a figure is translated down what happens?

The x-coordinate gets smaller (subtract from x)

The y-coordinate gets smaller (subtract from y)

The x-coordinate gets larger (add to x)

The y-coordinate gets larger (add to y)

11.

Level 2: How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Translated 5 units down and 5 units to the right

Translated 5 units down and 1 to the right

Translated 8 units down and 5 units to the right

Translated 5 units down and 4 units to the right

12.

Level 2: What is true about the image and pre-image in a translation?

The image is larger than the pre-image

The image is smaller than the pre-image

The image and pre-image are congruent (or the same size)

13.

Level 3: What rule translates the blue shape to the green shape?

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

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

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

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

14.

Level 3: What rule translates the green shape to the blue shape?

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

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

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

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

15.

Level 3: What transformation is happening?

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

slide up 2, left 3

slide right 2, up 3

slide right 2, down 3

slide left 3, right 2

16.

Level 3: Identify the transformation.

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

slide down 4

slide up 4

slide right 4

slide left 4

17.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰rotation clockwise?

(1, 3)

(3, 1)

(3, -1)

(1, -3)

18.

What is the only rule that will flip the order of x and y?

180 degree rotation

90 degree or 270 degree rotation

Reflection over the y-axis

Reflection over the x-axis

19.

What is the rule for a 270 degree clockwise rotation?

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

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

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

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

20.

What is the rule for a 90 degree counterclockwise rotation?

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

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

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

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

21.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

(-4,-3)

(-4,3)

(4,-3)

(3,4)

22.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

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Transformations on co-ordinate plane

Total questions: 22

Worksheet time: 1hrs 13mins

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