Download presentation
Presentation is loading. Please wait.
1
Properties or Rules of Transformations
Objective: Students will be able to identify the rules associate with transformations and transform figures accordingly.
2
Translation What do you Notice about this Translation going From blue to red? How are the Ordered pairs Affected?
3
Translation Basic Translation (x,y) (x+3,y)
Move each point 3 units right on the x axis Could rules for x, y or both Add to the x moves right Subtract from x moves left Add to y moves up Subtract from y moves down
4
Reflection 3 types Over the x axis Over the y axis Over the line y=x
5
Example Given the following picture reflect over the y axis and the write the coordinates
6
Reflections What do you think will happen with the x axis reflection? (x,y) (x,-y) Reflecting about the line y=x? (x ,y)(y,x)
7
This is reflection along the line y=x, notice the location of the original points and how they are different in the new image, x and y are reversed Point (-1,2) Point (-4,1) Point (-3,5) Point (2,-1) Point (1,-4) Point (5,-3)
8
Rotation about Origin Rotate a figure 180 degrees about the origin what do you notice Rotate a figure 90 degrees clockwise or counter clockwise what do you notice?
9
Rule (x,y)(-x,-y) Old New X Y X’ Y’ 2 3 -2 -3 5 1 -5 -1 4 6 -4 -6
10
Rule (x,y)(y,-x) Old New X Y X’ Y’ 2 3 -2 5 1 -5 4 6 -4
11
Coordinate Transformation
Reflect across y-axis the rule (x,y) (-x,y) Reflect across x-axis the rule (x,y)(x,-y) Reflect across y=x the rule (x,y)(y,x) Rotate about the origin 180 degrees the rule (x,y) (-x,-y) Translation about x-axis (x,y)(x+ or - #,y) Translation about y-axis (x,y)(x,y+ or - #)
12
Objective: Students will be able to identify the rules associate with transformations and transform figures accordingly. On a scale of 1 to 4 Do you feel we meet the objective for the day. If we did not meet the objective, what did we miss and how could I improve.
13
Homework Pg
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.