A translation is when you do this to a figure.
What is slide it?
A rotation is when you do this to a figure.
What is turn it?
Translation Rule
What is (x,y)->(x+a, y+b)?
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
What is (12,-8)?
What is (a, b)->(ka, kb)?
Write the translation rule for point (x,y) after it moves 3 spots to the left and 7 spots up.
What is (x-3,y+7)?
Find the new coordinates of ∆ABC A(5,-2), B(7, 3), C(6, 5) after it is reflected over the y-axis.
What is A'(-5,-2), B'(-7, 3), C'(-6, 5)?
Find the new coordinates of (-8, -2) after it rotates 90º counterclockwise.
What is (2, -8)?
Write the new coordinates after a dilation with k = 6. A(1, -2), B(3, 2), C(-4, -5)
What is A'(6, -12), B'(18, 12), C'(-24, -30)?
Rotation Rules (90, 180, and 270 Degrees)
What are 90 (a, b)->(-b, a)
180 (a, b)->(-a, -b)
270 (a, b)->(b, -a)
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates after the rectangle is rotated 270º counterclockwise about the origin?
What is Q'(-1, -2), R'(-1, -6), S'(-3, -6), T'(-3, -2)?
Find the new coordinates of C(6,0) and D(9,3) after a dilation with a scale factor of 1/3.
What is C'(2,0) and D'(3,1)?
Reflection Rules (x-axis, y-axis, y=x, y=-x)
y-axis (a,b)->(-a, b)
y=x (a,b)->(b, a)
y=-x (a, b)->(-b, -a)
Graph rectangle DEFG after a reflection over the line y=-x. D(5,5) E(5,8) F(8,8) G(8,5)
What is D'(-5,-5), E'(-8,-5), F'(-8,-8), G'(-5,-8)?
Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)
What is J'(-5,-6), K'(-7,-9), L'(-1,-2)?
Graph ∆DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)
What is D'(1,4), E'(1,1), F'(3,1)?
The kind of transformation that includes translations, reflections, and rotations.
What is a rigid transformation?