Dilations

Dilations

by Kevvin Hankins

Week 9 Assignment 1: Intro to Dilations

Learning Targets

• I understand the properties of a dilation

• I understand that 2D figures are similar to another if the second can be obtained from the first by a sequence of dilations

Multiple Choice

What is a dilation?

• The process of making a polygon larger or smaller without changing its shape

• The process of making a polygon move up, down, left, or right without changing its shape or size

• The process of making a polygon flip over an invisible line without changing its shape or size

• The process of making a polygon turn along quadrants without changing its shape or size

Dilation

-A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

-When a dilation occurs, the pre-image and image are considered to be similar but NOT congruent.

Dilation

• If a dilation creates a larger image, it is called an enlargement because it stretches the original image

• If a dilation creates a smaller image, it is called a reduction because it shrinks the original image

Multiple Choice

Which best describes an enlargement?

• stretches the original image

• shrinks the original image

Multiple Choice

Which best describes a reduction?

• stretches the original image

• shrinks the original image

Real Life Examples of Dilations

Real Life Examples of Dilations

Real Life Examples of Dilations

Open Ended

What is another real-life example of dilations?

The Scale Factor

• We use the scale factor(sf) to help describe and determine the type of dilation that takes place

• If sf > 1; the dilation is an enlargement

• is sf < 1; the dilation is a reduction

• if sf = 1; the image and pre-image are the exact same

Multiplication Practice

Do your best!

Multiple Choice

2 x 5 =

• 5 x 2

• 2 + 5

• 5 - 2

• 10 x 2

Multiple Choice

3 x 4 =

• 7

• 34

• 12

• 13

Multiple Choice

What is 2 multiplied by 4?

• 8

• 6

• 20

• 10

• 4

Multiple Choice

1x4

• 6

• 4

• 2

• 8

Multiple Choice

3x3

• 1

• 3

• 6

• 9

Multiple Choice

2x2

• 6

• 2

• 4

• 3

Multiple Choice

1x1

• 1

• 2

• 3

• 4

Multiple Choice

1/6 x 3

• 3/6

• 6/6

• 3/18

• Whoa its backwards!

Multiple Choice

SOLVE! 1/10 x 5

• 5/10

• 5/50

• I don't know fractions 

• 1/10

Multiple Choice

Multiply. Simplify. 4 x 3/4=

• 3

• 7/4

• 1/3

• 12/16