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## Warm Up

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### Warm Up Tuesday, August 19th Dilations in the Coordinate Plane Tuesday, August, 19th Dilations What is a dilation? A transformation that changes the size of a figure. – PowerPoint PPT presentation

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Title: Warm Up

1
Warm Up Tuesday, August 19th
2
Dilations in the Coordinate Plane
• Tuesday, August, 19th

3
Dilations
• What is a dilation?
• A transformation that changes the size of a
figure.
• What are two types of dilations?
• Enlargement
• Reduction
• The point of projection is called the center of
dilation
• The amount of change is written as a ratio and is
called a scale factor.

4
Dilations
• In the coordinate plane, the center of dilation
is the origin.
• To find the new coordinates, multiply the
original coordinates by the scale factor.

5
Steps to Follow
1. Plot the given points.
2. Multiply each coordinate by the scale factor.
3. Plot the image points.
4. State the coordinates of the dilation.

6
Given the vertices of the triangle, find a
dilation by a scale factor of 3.
B
C
• A (1,2)
• B (3,3)
• C (1,3)

A (3,6)
A
B (9,9)
C
B
C (3,9)
A
7
Given the vertices of the rectangle, find a
dilation by a scale factor of 2/3.
• A (-6,-3)
• B (-6,3)
• C (6,3)
• D (6,-3)

A (-4,-2)
B (-4,2)
C (4,2)
B
C
D (4,-2)
B
C
A
D
A
D
8
Practice with Dilations
• http//www.regentsprep.org/Regents/math/geometry/G
T3/PracCoD.htm

9
Homework
• Work Packet Dilations