Math Vocab
What is a Reflection?
a type of geometrical transformation, where an object is flipped to create a mirror or congruent image.
a translation is when you do this to a figure
move it right, left, up, or down
a rotation is when you do this to a figure
spin it
a dilation is when you do this to a figure
make it bigger or smaller
These are the four properties under transformations
Shape, size, orientation, and location
What is a Translation?
The displacement or moving of a figure or shape from one spot to another.
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 (5,4) after you rotate the point with 180 degrees
(4,5)
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
Dialation
What is a Function?
An expression, rule, or law that defines a relationship between one variable ( the independent variable) and another variable (the dependent variable)
graph triagel (LMN) after a trantion of 6 units to right and and 4 units down L(0,3)M(6,4)N(3,9)
L(6-1),M(12,0)N(9,5)
write the notation of point (x,y) after it rotates 90 degrees clockwise
what is (y,-x)
write the notation of point (X,y)after it is dilated with r=6
(6x,6Y)
These properties change under a reflection
Oreintation and location
What is a Rotation?
the circular movement of an object around a central line, known as the axis of rotation.
describe the translation for this notation: (x,y)-->(x+8,y+4)
a translation of 8 units to the right and 4 units up
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 90 degrees counterclockwise about the origin
(1,6)
line segment CD was dilated around the origin by a scale factor the 2 the endpoints are 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)
These prooperties are preserved under a dilation
Shape and orientation
what is a horizontal shift
Horizontal Shifts are inside changes that affect the input (horizontal) axis values shifting the transformed function left or right
write the notation of point (x,y) after it moves 3 spots to the left 7 spots up
(x-3,y+7)
graph tringel JKL after a rotation of 180 degrees about the origin J(5,6)K(7,9)L(1,2)
J(-5,-6),K(-7,-9),L(-1,-2)
graph triangle DEF after a dialation 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)
This property sometimes changes under a rotation
Location