Translations
A translation is when you do this to a figure.
Slide
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.
Turn around a point
An image of a shape will always be _________ which means it is the same size, has same length of sides and same interior angles
Congruent
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)?
Which transformation will result in an identical image that is at a new position on the Cartesian plane?
Translation
What would the xy statement be if you translate a coordinate 3 spots to the left and 7 spots up.
(x-3,y+7)
What direction will the line of reflection be for x=7?
Vertical
Which degrees of rotation do not change depending on the direction you turn?
180
360
How might a shape change after being rotated?
orientation
location
Describe the movement of a coordinate for this xy statement: (x + 8, y + 4)
translation of 8 units to the right and 4 units up
What rule can you follow when you reflect a shape over the y axis?
The y coordinate stays the same and x coordinate becomes its opposite
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)
A mirror image of a shape is known as a _______
Reflection
What are the new coordinates of ∆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 x axis D(5,5) E(5,8) F(8,8) G(8,5)
D'(5, -5), E'(5, -8), F'(8, -8), and G'(8, -5).
Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (4,9)
J(-5,-6), K(-7,-9), L(-4)?
What will always happen when you use a point ON a shape as the point of rotation?
It will be connected to the original shape