Free Printable Transformations of points in the x and y axis

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Transformations of points in the x and y axis - Stage 4

Total questions: 25

Worksheet time: 47mins

Name

Class

Date

What is the algebraic rule?

Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of Tʹ?

(-3, -1)

(-3,-2)

(5,2)

(5,4)

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

(x+2, y-5)

(x+2, y-9)

(x-2, y-9)

Find K' if the figure is reflected across the x-axis

(4, 1))

(-1, -4)

(1, -4)

(1, 4)

Which answer shows a reflection across the x-axis?

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

S'(3, 7)

S'(-3, 7)

S'(-3, -7)

S'(3, 7)

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

(-5, 5)

(-3, -5)

(-5, 3)

(-3, 3)

Reflecting over the y-axis changes the sign of the ____-_____________.

x-axis

x-coordinate

y-coordinate

none of the above

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

10.

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

11.

What is the correct definition of a translation?

moving a figure by reflecting across an axis

moving a figure by sliding left/right or up/down

moving a figure by rotating a figure

moving a figure by enlarging or reducing a figure

12.

What kind of transformation is this?

Translation

Reflection

Rotation

13.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

(4,0)

(0,4)

(-1,5)

(5,-1)

14.

Reflections over the x-axis change the __________.

y-coordinate

x-coordinate

15.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

16.

∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?

B'(2, -3)

B'(-2, 3)

B'(-2, -3)

B'(2, 3)

17.

Describe the transformation:

(x, y) -> (x-2, y+7)

Translation 2 units to the left & 7 units up

Translation 2 units to the left & 7 units down

Translation 2 units to the right & 7 units up

Translation 2 units to the right & 7 units down

18.

Rotate the point (5, -3) 90 degrees clockwise about the origin.

(-3, 5)

(3, -5)

(-3, -5)

(3, 5)

19.

Rotate the point (5, -3) 90 degrees counterclockwise about the origin.

(3, 5)

(3, -5)

(-3, -5)

(-3, 5)

20.

Rotate the point (-6, -8) 270 degrees clockwise about the origin.

(8, 6)

(6, -8)

(8, -6)

(-8, -6)

21.

Rotate the point (21, -15) 180 degrees about the origin.

(15, -21)

(-21, -15)

(-21, 15)

(-15, 21)

22.

Rotate the point (-7, 4) 270 degrees counterclockwise about the origin.

(4, 7)

(4, -7)

(-7, -4)

(7, 4)

23.

Rotate the point (-11, -6) 90 degrees clockwise about the origin.

(6, 11)

(6, -11)

(-6, 11)

(-11,6)

24.

Rotate the point (9, 12) 90 degrees counterclockwise about the origin.

(12, 9)

(12, -9)

(-12, 9)

(-12, -9)

25.

Rotate the point (-9, -1) 180 degrees clockwise about the origin.

(1, 9)

(-9, 1)

(9, -1)

(9, 1)

Reset

Transformations of points in the x and y axis - Stage 4

Total questions: 25

Worksheet time: 47mins

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