Reflections
A picture with one point (-3,4) was reflected over the line y-axis. What should be the new coordinates of the point?
What is (3, 4)?
A translation is when you do this to a figure.
What is slide it right, left, up, or down?
Graph points A(3,5) B(0,4) C(-2,-2)
Scale Factor 2
Show your work on dry/erase board
Is where the polygon grows or shrinks but keeps the same overall shape.
What is Dilation?
A rotation is when you do this to a figure.
What is turn it?
Graph rectangle DEFG after a reflection over the line x-axis. D(5,5) E(5,8) F(8,8) G(8,5)
What is D'(5,-5), E'(5,-8), F'(8,-8), G'(8,-5)?
Find the new coordinates of (2,4) if you translate the point three units left and 4 units up.
What is (-1, 8)
Graph the following ordered pairs A(0,-6) B(0,6) C(6,6) D(6,3)
Scale factor 0.5
Show your work on dry/erase board
"Sliding": moving a shape without rotating or flipping it.
The shape still looks exactly the same, just in a different place.
What is Translation?
Find the new coordinates of (5,4) after you rotate the point with 180º.
What is (-5,-4)?
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
What is (3, 2)?
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
What is (x-3,y+7)?
Graph the following ordered pairs A(1,4) B(2,2) C(4,5)
Scale factor 2
Show your work on dry/erase board
Turning around a center:
The distance from the center to any point on the shape stays the same.
What is Rotation?
Clockwise rotation around the origin
Algebraic representation
(x,y)--> ( y , -x )
What is 90 degrees rotation
(x,y) --> (x,-y)
This is an algebraic representation for a reflection over which axis?
What is the "X" axis?
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
What is a translation of 8 units to the right and 4 units up?
What will be the algebraic operation for a set of ordered pairs that are dilated by a "scale factor u"
What is (x,y) ---> ( ux, uy )
A flip over a line.
What is Reflection?
Clockwise rotation around the origin
Algebraic representation
(x,y)--> ( -x , -y )
What is a 180 degrees rotation
(x,y) --> (-x,y)
Algebraic representation for a reflection over which axis?
What is the "Y" axis?
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
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)?
One word synonym for "Algebraic Representation"
What is Formula?
Clockwise rotation around the origin
Algebraic representation
(x,y)--> ( -y , x )
What is a 270 degrees rotation