Show:
Vocabulary
Translations
Reflections
Rotations
Bonus
100
A transformation in which a graph or geometric figure slides to another location
What is translation?
100
a figure that is translated 3 units left that starts at (0,0)
What is (-3,0)
100
What happens in a reflection across the y axis?
What is (x,y) becomes (-x, y)
100
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise. Also (x,y) turns into (-x,-y)
What is a rotation of 180 degrees?
100

Name the property:

a+b=b+a

Communicative Property of Addition

200
Operations that alter the form of a figure. Examples: translations, reflections, and rotations.
What is transformations?
200
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (2, -5)
What is A'(4, -1)?
200
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
200
The rotation of 270 degrees clockwise.
What is (x,y) becomes (-y, x)
200

Write and equation that would have the following.

x  y

0  -2

1  1

2  4

3  7

y=3x-2

300
The two axis' where transformations occur
What is the x and y axis?
300
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)
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
300
What happens in a reflection across the x-axis?
What is (x,y) becomes (x,-y)
300
A rotation clockwise of 90 degrees.
What is (x, y)-->(y, -x)
300

Write an equations that would get you the following.

x   y

0  0

1  1

2  4

3  9

y=x^2

400
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
400
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.
What is M'(1, 1) and N'(2, -1)?
400
The line of reflection over x axis when A(-2, 0), B(1, 3), and C(3, -4)
What is A' (-2,0) B' (1,-3) C 3,4)
400
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 270 degrees clockwise or 90 degrees counterclockwise?
400

Every input has its own unique output.

What is a function?

500
The essential question in today's lesson
What is how do you identify the different figures of a transformation?
500
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is 4 units down
500
The line of reflection OVER BOTH X and Y AXIS X(-4, 0), Y(-2, -2), and Z(0, -8)
What is X' (4,0) Y' (2,2) Z' (0,8)
500
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
What is A'(3, 2) and B'(1, -2)?
500

What is a parabola?

A u-shaped graph when a variable is squared (y=x^2)