1. Lesson 2.7 Objective: To complete dilations on a coordinate plane.
Essential question: How do you enlarge or reduce a figure on a coordinate plane.
Vocabulary:
Dilation: is an image produced by enlarging or reducing a figure.
A dilation is formed by multiplying all coordinates by a scale factor.
Dilations: Non Rigid Similar figures
Translations:
Rotations: Rigid Congruent figures
Reflections:

2. Example: graph the line segment with endpoints (1,2) and (3,-2) then graph the image after a dilation of 2 A’
(2,4) and (6, -4)
New Image
Multiply all coordinates by 2 for the coordinates of the new image A B B’
LEFT COLUMN
QUESTION?
What is the difference between rigid and non-rigid transformations?
ANSWER: Rigid keep their size and shape. Non rigid keep shape but size changes.

3. Multiply all coordinates by 2
Example: Graph the triangle with vertices (-1,-1), (1,3) and (3,1) then graph its image after a dilation of 2.
Multiply all coordinates by 2
(-2,-2) (2,6) and (6,2)

4. The Green square is a dilation of the Red square
The Green square is a dilation of the Red square. What is the scale factor? 30
Dilation ‘
Original 24
Enlargement
Now Lets say the red square is a dilation of the green square. Scale factor?
Enlargements have a scale factor greater than 1. Reductions have a scale factor less than 1
Reduction