Transformations

Translations

100

A translation is when you do this to a figure.

What is move it right, left, up, or down?

200

Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.

What is (7,16)?

300

Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.

What is (x-3,y+7)?

400

Describe the translation for this notation: (x,y) --> (x + 8, y + 4)

What is a translation of 8 units to the right and 4 units up?

500

Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)

What is L'(6,-1), M'(12,0), N'(9,5)?

Reflections

100

A reflection is when you do this to a figure.

What is flip it or make a mirror image of it?

200

Find the new coordinates of (3,-2) after you reflect the point over the x-axis.

What is (-3,-2)?

300

Write the notation of point (x,y) after it is reflected over the y-axis.

What is (-x,y)?

400

A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?

What is (4,-3)?

500

Graph rectangle DEFG after a reflection over the line y=x. D(5,5) E(5,8) F(8,8) G(8,5)

What is D'(5,5), E'(8,5), F'(8,8), G'(5,8)?

Rotations

100

A rotation is when you do this to a figure.

What is spin it?

200

Find the new coordinates of (5,4) after you rotate the point with 180º.

What is (4,5)?

300

Write the algebraic representation of point (x,y) after it rotates 90º counter clockwise.

What is (-y,x)?

400

Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?

What is (1,6)?

500

Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)

What is J(-5,-6), L(-7,-9), L(-1,-2)?

Dilations

100

A dilation is when you do this to a figure.

What is make it bigger or smaller?

200

Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.

What is (12,-8)?

300

Write the notation of point (x,y) after it is dilated with r=6.

What is (6x,6y)?

400

Line segment CD was dilated around the origin by a scale factor of 2. The endpoints of the image are C' (4,0) and D' (6,2). What are the coordinates of the endpoints of the original line segment?

What is C(2,0) and D(3,1)?

500

Graph ∆DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)

What is D'(1,4), E'(1,1), F'(3,1)?

Mixed Practice

100

Given the algebraic representation, provide the transformation.

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

What is a translation.

200

Which transformation does not result in a congruent figure?

What is a dilation?

300

Given the algebraic representation, provide the transformation.

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

What is a rotation?

400

What type of dilation is featured in the algebraic representation?

(x, y) -> (0.25x, 0.25y)

What is a reduction?

500

Given the algebraic representation, provide the SPECIFIC transformation.

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

What is a reflection over the y-axis?