Translations
Reflections
Rotations
Dilations
Compositions of Reflections
100
Translate the point (6, 5) two left and three up.
(4, 8)
100
When you start at (4, 5) and reflect over the x-axis, where does the point land?
(4, -5)
100
Rotate the point (5, 4) 90 degrees counterclockwise
(-5, 4)
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)
100
R(x-axis)*T(3, 4) (6, 7)
(9, -10)
200
Translate the point (-3, 2) four left and 2 down
(-7, 0)
200
Starting at (-5, -9) and reflecting over the line y = x, where does the point stop?
(-9, -5)
200
Rotate the point (2, -4) 270 degrees counterclockwise
(-4, -2)
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)
200
T(2, 5) * r(90 degrees, O) (-3, 4)
(-2, 2)
300
What is the translation rule for moving a point from (5, 6) to (2, 9)
(x - 3, y + 3)
300
When you start at (6, 2) and reflect of the y-axis, what is the new point?
(-6, 2)
300
Rotate the point (1, 7) 180 degrees counterclockwise
(-1, -7)
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)
300
r(180 degrees, O) * R(y-axis) (-4, 6)
(-6, -4)
400
What is the rule for translating a point from (-6, -1) to (-3, -4)
(x + 3, y - 1)
400
Starting at (-10, 11), where do you end up when reflecting over the line y = -x?
(-11, 10)
400
Rotate the point (-7, -2) 90 degrees counterclockwise
(2, -7)
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)
400
R(y = x) * T(-4, -2) (4, 5)
(3, 1)
500
Where does the point (23, 11) end up if you translate it 31 to left or 56 up?
(-8, 67)
500
Starting at the point (-3, 5), where does it end when reflecting over the point x = -1?
(1, 5)
500
Rotate the point (-8, -10) 270 degrees counterclockwise
(-10, 8)
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)
500
r(270 degrees, O) * R(y = -x) (7, -8)
(-7, -8)