Unit 5: Transformations Review Game

Translations

100

To go from A to A′, you move 4 units left and 1 unit up, so you move along the vector 〈−4, 1〉.  What is the rule for this translation?

(x, y) → (x − 4, y + 1)

200

Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by <2, -5>.

What is A'(4, -1)?

300

Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by <-5, 1>.

What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?

400

Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.

What is M'(1, 1) and N'(2, -1)?

Reflections

100

If (a, b) is reflected in the line y = x, then its image is the point...

What is: (b,a)

200

The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.

What is X'(-3, -1)?

300

Triangle J(5, 3), K(1, −2), L(−3, 4) is reflected over the y-axis. What is it's image new coordinates?

What is J'(-5,3), K'(-1, −2), and L'(3, 4)

400

reflection across the x-axis Y(1, 0), Q(2, 2), R(4, -3), K(1, -4)

 Y(1, 0), Q(2, -2), R(4, 3), K(1, 4)

Rotations

100

For a rotation of 180°, (a, b) →

What is (−a, −b). 

200

The coordinate mapping for a rotation clockwise of 90 degrees.

What is (x, y)-->(y, -x)

300

Vertices J(3, 0), K(4, 3), and L(6, 0) and its image after a 90° rotation about the origin.

J(0,-3), K(-3,4), and L(0,6)

400

rotation 90° counterclockwise about the origin D(0, 2), U(1, 3), C(3, 0), H(1, -3)

D'(-2, 0), U'(-3, 1), C'(0, 3), (3, 1)

CHALLENGE

100

a function that moves or changes a figure in some way to produce a new figure called an image

transformation

200

Write the rule...

S(1, -4), G(1, -1), V(3, -4) to G'(1, 1), V'(3, 4), S'(1, 4)

reflection across the x-axis

300

What is the coordinate mapping (or rule) when triangle D(-5, 4), E(-4, 1), and F(-2, 1) is translated to triangle D'(-5,0), E'(-4, -3), and F'(-2, -3).

What is (x, y)-->(x, y-4)

400

Write the rule...

Z(2, 0), R(2, 4), W(4, 3), G(5, 1) to Z'(-5, -3), R'(-5, 1), W'(-3, 0), (-2, -2)

translation: 7 units left and 3 units down