Random
A reflection is also an example of a __________ _________ .
rigid motion
A ___ over a line called the ___ __ ____.
A flip over a line called the line of reflection.
what coordinate notation:
(x,y) -- (x+h, y+k)
A reflection is..
A rigid motion that flips over a line (line of reflections
A rotation is...
a type of rigid transformation that turns a geometric figure around a fixed point called the center of rotation
What is the most common center of rotation ?
the orgin
A dilation...
it is a enlargement or reduction of a figure with respect to a fixed point, called the center of dilation.
what do h and k represent in coordinate notation
h represents the horizontal shift and k represents the vertical shift
Rotate point A(-2, 4) by 90° counterclockwise about the origin.
Substitute x = -2 and y = 4 into (-y, x) to get A'(-4, -2)
A dilation is a _________ or __________ of a figure .
enlargement and reduction
What is a scale factor..
it is indicates how much the figure will enlarge or reduce.
Triangle CDE with vertices C(2,-1) D(7,-4) and E(4,-6)(x,y)--(x-3, y+8)
C' (-1,7) D' (4,4)
E'(4,4)
Rotate point B(5, -3) by 180° about the origin.
Substitute x = 5 and y = -3 into (-x, -y) to get B'(-5, 3). [1, 2]
Pre-image is also known as ?
the original image
A rectangle QRST with vertices Q(-6.-1), R(-3,1), S(1,-5), T(-2,-7): (x,y)--(x+5,7+7)
Q' (-1,6) R'(2,8)
S'(6,2) T'(3,0)
Rotate point C(3, 7) by 90° clockwise about the origin.
Substitute x = 3 and y = 7 into (y, -x) to get C'(7, -3).
what type of reflection is this?
(x,y)->(-y,-x)
reflection about the line y=-x
Square WXYZ with vertices W(1,7), X(6,5), Y(4,0), Z(-1,2): (x,y -- (x-7,y)
W'(-6,7) Y'(-3,0)
X'(-1,5) Z'(-8,2)
Rotate point D(2, 6) by 90° clockwise around the center point P(1, 2).
The final coordinates of the rotated point are D'(5, 1).