Translations
A translation is when you do what to a figure?
Move the figure right, left, up, or down
A reflection is when you do what to a figure?
Flip it or make a mirror image of it.
A rotation is when you do what to a figure?
When you spin it.
A dilation is when you do what to a figure?
When you make it bigger or smaller.
What are the four types of transformations?
Translation, rotation, reflection, and dilation.
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 y-axis.
(-3,-2)
After you rotate the point (5,4) 180º clockwise, what quadrant will your new point be in?
Quadrant 3.
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
(12,-8)
Which transformation does not result in a congruent figure?
Dilation
Write the notation (formula) of point (x,y) after it moves 3 spots to the left and 7 spots up.
(x-3,y+7)
Write the notation (formula) of point (x,y) after it is reflected over the y-axis.
(-x,y)
After you rotate the point (3,2) 90º clockwise, what quadrant will your new point be in?
Quadrant 4.
If a figure is dilate by a scale factor of 6, what will happen to the figure?
It will enlargen (get bigger).
What property changes under a reflection?
Location
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
A translation of 8 units to the right and 4 units up.
Write the notation (formula) of point (x,y) after it is reflected over the x-axis.
(-x,-y)
What degrees will you typically see a figure rotated?
90, 180, 270 degrees.
If a figure is dilate by a scale factor of 1/2, what will happen to the figure?
The figure will shrink (get smaller).
What property is changed under a dilation?
Size
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 x-axis. D(5,5) E(5,8) F(8,8) G(8,5)
D'(5,-5), E'(5,-8), F'(8,-8), G'(8,-5)
Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)
What is 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)
What is D'(1,4), E'(1,1), F'(3,1)?
What property never changes under dilation, rotation, reflection, or translation?
Angles