Transformations

Translations

100

A translation is when you do this to a figure (hint: 4 directions).

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 algebraic rule for 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

∆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 algebraic rule of point (x,y) after it is reflected over the y-axis.

What is (-x,y)?

400

If point A(-3,4) was reflected over the y-axis. What should be the image coordinates?

What is A'(3,4)?

500

Name the image coordinates for rectangle DEFG after a reflection over the x-axis 

D(5,5) E(5,8) F(8,8) G(8,5)

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

Rotations

100

A rotation is when you do this to a figure.

What is turn it around (spin it)?

200

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

What is (-5,-4)?

300

Write the algebraic rule for point (x,y) after it rotates 90º 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 algebraic representation of point (x,y) after it is dilated by a scale factor of 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)?

Properties

100

List the four types of transformations.

What are translations, reflections, rotations, and dilations?

200

Which transformation does not result in a congruent figure (non-rigid)?

What is a dilation?

300

(a,b) becomes what on a 180 degree rotation.

What is (-a, -b)?

400

A 270 degree rotation clockwise is also know as

What is a 90 degree rotation counter clockwise.

500

This point has become (2x + 2, 2y -3) 

Describe the TWO transformations that occured

What is dilated by 2 and moved right 2 and down 3?