Transformation Knockout

Translations

100

Translate the point (6, 5) two left and three up.

(4, 8)

200

Translate the point (-3, 2) four left and 2 down

(-7, 0)

300

What is the translation rule for moving a point from (5, 6) to (2, 9)

(x - 3, y + 3)

400

What is the rule for translating a point from (-6, -1) to (-3, -6)

(x + 3, y - 5 )

500

Where does the point (23, 11) end up if you translate it 31 to left or 56 up?

(-8, 67)

Reflections

100

When you start at (4, 5) and reflect over the x-axis, where does the point land?

(4, -5)

200

Starting at (-5, -9) and reflecting over the line y = x, where does the point stop?

(-9, -5)

300

When you start at (6, 2) and reflect of the y-axis, what is the new point?

(-6, 2)

400

Starting at (-10, 11), where do you end up when reflecting over the line y = -x?

(-11, 10)

500

Starting at the point (-3, 5), where does it end when reflecting over the point x = -1?

(1, 5)

Rotations

100

Rotate the point (5, 4) 90 degrees counterclockwise

(-4,5)

200

Rotate the point (2, -4) 270 degrees counterclockwise

(-4, -2)

300

Rotate the point (1, 7) 180 degrees counterclockwise

(-1, -7)

400

Rotate the point (-7, -2) 90 degrees counterclockwise

(2, -7)

500

Rotate the point (-8, -10) 270 degrees counterclockwise

(-10, 8)

Dilations

100

The triangle ABC has coordinates A(4, 6), B(2, 5), and C(3, 9). If it is dilated by a magnitude of 3, what are the new coordinates?

A'(12, 18) B'(6, 15) C'(18, 27)

200

The rectangle ABCD has coordinates A(2, 10), B(-1, -5), C(-12, 4), and D(-9, -2). If it is dilated by a magnitude of 7, what are the new coordinates?

A'(14, 70) B'(-7, -35) C'(-84, 28) D'(-63, -14)

300

The triangle ABC has coordinates A(15, 10), B(20, -5), and C(45, 25). If it is dilated by a magnitude of 1/5, what are the new coordinates?

A'(3, 2) B'(4, -1) C'(9, 5)

400

The rectangle ABCD has coordinates A(24, 12), B(-4, -8), C(-12, -4), and D(-36, -16). If it is dilated by a magnitude of 1/4, what are the new coordinates?

A'(6, 3) B'(-1, -2) C'(-3, -1) D'(-9, -4)

500

The triangle ABC has coordinates A(2, 10), B(-1, -5), and C(-12, 4). If it is dilated by a magnitude of 20, what are the new coordinates?

A'(40, 200) B'(-20, -100) C'(-240, 80)

Compositions of Reflections

100

R(x-axis)*T(3, 4) 

(6, 7)

(9, -11)

200

T(2, 5) * r(90 degrees, O) 

(-3, 4)

(-2, 2)

300

r(180 degrees, O) * R(y-axis) 

(-4, 6)

(-4, -6)

400

R(y = x) * T(-4, -2) 

(4, 5)

(3, 0)

500

r(270 degrees, O) * R(y = -x) 

(7, -8)

(-7, -8)