Translations
A translation is when you do this to a figure.
move it right, left, up, or down
A reflection is when you do this to a figure.
flip it or make a mirror image of it
A rotation is when you do this to a figure.
spin/turn it
What does a dilation do to a figure?
Makes them bigger or smaller.
Solve for x.
3x + 6 = 24
x = 6
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
(7,16)
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
(-3,-2)
Find the new coordinates of (5,4) after you rotate the point with 180º.
(4,5)
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
(12,-8)
Solve for x.
4(x+2) = 20
x = 3
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
(x-3, y+7)
Write the notation of point (x,y) after it is reflected over the y-axis.
(-x,y)?
Write the notation of point (x,y) after it rotates 90º clockwise.
(y,-x)
Write the rule of point (x,y) after it is dilated with k=6.
(x,y) ---> (6x,6y)
Solve for p.
2(2p + 3) = 30
p = 6
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
a translation of 8 units to the right and 4 units up
A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?
(4,-3)?
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
(1,6)
Line segment CD was dilated by a scale factor of 2. The endpoints of the image are C' (4,0) and D' (6,2). What are the coordinates of the endpoints of the ORIGINAL line segment?
C(2,0) and D(3,1)
Solve for x.
4 - 6x < 2(2x + 3)
x > -1/5 or x > -0.2
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
L'(6,-1), M'(12,0), N'(9,5)?
Graph rectangle DEFG after a reflection over the line y=x. D(5,5) E(5,8) F(8,8) G(8,5)
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)
J'(-5,-6), L'(-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)
D'(1,4), E'(1,1), F'(3,1)
Solve the system of equations using substitution.
3x - 5y = -12
y = 3
x = 1