Vocabulary
A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.
translation
The vector notation for a figure that is translated 3 units left from <0,0>
<-3, 0>
The equation for the line of reflection if a figure is reflected over the y-axis.
x=0
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
rotation of 180 degrees
Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.
transformations
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by <2, -5>.
A'(4, -1)
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
X'(-3, -1)
Enlargement or Reduction:by a scale factor of 4/3. Will the image be larger than the object or smaller?
larger as scale factor is more than one
What are the important things you need to mention while describing a rotation?
mention that it is rotation
: centre of rotation
:Angle of rotation
:Direction of rotation
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by <-5, 1>.
X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)
How can I write the equation of a mirror line when it is a vertical line and passes through x axis at -2?
mirror line is x=-2
If x,y is rotated 90 degree clockwise, what will be the final coordinate in form of x and y
(x, y)-->(y, -x)
A transformation in which a plane figure turns around a fixed center point.
Rotation
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
M'(1, 1) and N'(2, -1)
What will be the line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2).
y=-1
Describe fully the single transformation from P to Q?
Image to be shown
Enlargement of scale factor 2.5 at the centre (0, 0)