Transformations Review

Translations

100

Point P(3,4) is translated 2 units left and 3 units up. What is the coordinate of P^I?

(1,7)

200

Points C(2,-1) and D(7,-4) are translated 7 units to the right and 1 unit down. What are the coordinates of the translated points?

C^I(9,0)

D^I(14,-5)

300

What is the translation vector from L(-8,-5) to L^I(-5,2)?

<3,7>

400

What are the new points to the translated triangle XYZ with vertices X(4,7), Y(8,5), Z(6,3) using:

(x,y)-->(x+5, y-7)

X^I(9,0)

Y^I(13,-2)

Z^I(11,-4)

500

What are the new coordinates of quadrilateral QRST with vertices Q(-6,-1), R(-3,1), S(1, -5), T(-2,-7) using:

<4,2>

Q^I(-2,1)

R^I(1,3)

S^I(5,-3)

T^I(2,-5)

Reflections

100

What is the rule for reflecting over the x-axis?

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

200

Given B(4,7), what is the new point after reflecting B over the y-axis?

B^I(-4,7)

300

What are the new coordinates of triangle JKL given vertices J(1,-1), K(2,3), and L(3,-2) after a reflection over the x-axis?

J^I(1,1)

K^I(2,-3)

L^I(3,2)

400

What are the new coordinates of quadrilateral WXYZ given W(-2,-4), X(1,-2), Y(4,-4), and Z(1,-6) after a reflection over the y-axis?

W^I(2,-4)

X^I(-1,-2)

Y^I(-4,-4)

Z^I(-1,-6)

500

What is the rule for a reflection over the line y=x?

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

Rotations

100

What is the new coordinate of Point P(2,6) after a rotation of 90 degrees counterclockwise?

P^I(-6,2)

200

What is the new coordinate of Point P(9,0) after a rotation of 270 degrees counterclockwise?

P^I(0,-9)

300

Fill in the blank:

A rotation rotates a figure at a specific ________ and ____________.

A rotation rotates a figure at a specific angle and direction.

400

What is the rule for a rotation of 90 degrees clockwise?

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

500

What are the new coordinates of the triangle ABC given A(2,7), B(6,5), and C(4,1) after a rotation of 180 degrees?

A^I(-2,-7)

B^I(-6,-5)

C^I(-4,-1)

Dilations

100

Fill in the blank:

When the scale factor is greater than 1, your image gets __________.

When the scale factor is greater than 1, your image gets larger.

200

What is the variable used to denote a scale factor?

k

300

What are the new coordinates of triangle RST given R(-5,1), S(-3,4), and T(2,-1) after a dilation of 3?

R^I(-15,3)

S^I(-9,12)

T^I(6,-3)

400

What are the new coordinates of quadrilateral ABCD given A(-9,0), B(3,6), C(6,0), D(-6,-6) after a dilation of 1/2.

A^I(-3,0)

B^I(1,2)

C^I(2,0)

D^I(-2,-2)

500

Given the preimage points and the image points, what is the dilation factor? 

A(2,3)     A^I(6,9)

B(3,4)     B^I(9,12)

C(5,-3)   C^I(15,-9)

D(1,-4)   D^I(3,-12)

k=3