Reflections
Describe this transformation in words.
(4, -2) --> (4, 2)
Reflection across the x-axis
Describe this transformation in words.
(x, y) --> (x + 5, y - 7)
Translation right 5, down 7
Describe this transformation in words.
(3, 6) --> (6, -3)
Rotation 90 degrees CW
What is the scale factor?
(2, 3) --> (24, 36)
Scale factor = 12
What two transformations does this rule show?
(x, y) --> (2x + 1, 2y - 4)
Dilation, scale factor = 2
Translation, right 1, down 4
Reflect the point P(9, 8) over the y-axis.
P'(-9, 8).
Write a translation rule that goes right 8 and down 3.
(x + 8, y - 3)
Rotate point C(5, -6) 180 degrees clockwise.
Dilate the point R(0, 10) using a scale factor of 1/2.
R'(0, 5)
L(3, -4)
Translate 5 right and 1 up
Reflect across the y-axis
Give L''.L''(-8, -3)
Reflect the triangle FAR across the y-axis.
F(0, 1) A(4, -5) R(-2, -1)
F'(0, 1) A'(-4, -5) R'(2, -1)
Translate the triangle PAW left 3 units and up 4 units.
P(9, 2) A(2, 7) W(-1, -1)
P'(6, 6) A'(-1, 11) W'(-4, 3)
Rotate triangle MET 270 degrees CW.
M(1, 0) E(-1, 5) T(-4, -2)
M'(0, 1) E'(-5, -1) T'(2, -4)
Dilate triangle MID using a scale factor of 1/3.
M(9, 3) I(0, 6) D(-3, -3)
M'(3, 1) I(0, 2) D(-1, -1)
A(-7, 4) R(-4, -1) C(1, -2)
A'(-7, -6) R'(-4, -1) C'(1, 0)
Triangle CAR was reflected across the x-axis. Where was triangle CAR?
C'(3, 3) A'(6, -4) R'(-3, 1)
C(3, -3) A(6, 4) R(-3, -1)
Triangle BUN is translated to create triangle B'U'N'. Write a rule for the translation.
B(8, 3) U(1, 7) N(-3, 1)
B'(-1, 6) U'(-8, 10) N'(-12, 4)(x, y) --> (x - 9, y + 3)
Triangle CUP was rotated to create triangle C'U'P'. How many degrees was the rotation? In what direction?
C(0, 5) U(3, -2) P(-3, 8)
C'(-5, 0) U'(2, 3) P'(-8, -3)
270 degrees CW
(or 90 degrees CCW)
Triangle LAW was dilated using a scale factor of 3 to create triangle L'A'W'. Where was triangle LAW?
L'(15, 6) A'(-12, 12) W'(-21, 0)L(5, 2) A(-4, 4) W(-7, 0)
Triangle YUP was reflected across the y-axis and then translated left 4 units to create Y''U''P''. Where was triangle YUP?
Y''(6, -5) U''(-4, 0) P''(1, -9)
Y(-10, -5) U(0, 0) P(-5, -9)
Reflect triangle ACT across the x-axis AND the y-axis. Where is triangle A''C''T''?
A(6, 1) C(8, -8) T(-4, 0)
A''(-6, -1) C''(-8, 8). T''(4, 0)
Create one translation rule that represents both translation rules at the same time.
(x, y) --> (x + 5, y - 4)
(x, y) --> (x + 1, y + 3)
(x, y) --> (x + 6, y - 1)
Rotate triangle CAW 270 degrees COUNTERclockwise.
C(1, 4) A(3, -6) W(-5, 0)
C'(4, -1) A'(-6, -3) W'(0, 5)
Triangle TUB is dilated by a scale factor of 4, then dilated by a scale factor of 1/4. Where is triangle T''U''B''?
T(2, 0) U(-1, 7) B(1, -4)
T''(2, 0) U''(-1, 7) B''(1, -4)
Complete the series of transformation rules on triangle NAP to create triangle N'''A'''P'''.
N(7, 12) A(-3, 13) P(-5, 1)
(x, y) --> (x + 1, y - 4)
(x, y) --> (y, -x)
(x, y) --> (1/2x, 1/2y)
N'''(4, -4) A'''(4.5, 1) P'''(-1.5, 2)