Transformations

By: Morgan Clark

Dilations

• In a dilation you are able to either reduce your object or enlarge it.

• If you dilate an object by 500% you will enlarge it because the 500% is actually 5 wholes and it is greater than one whole.

• Dilating your image by .5 will reduce your object because it is less than one whole.

Translations

• A translation is were you change your original coordinates by first moving your figure right or left.

Reflections

• A reflection is where you can flip your figure over the x-axis or the y-axis.

Enlargement

• In order to enlarge your figure you must have a scale factor greater than one.

• If you dilate an object by 500% you will enlarge it because the 500% is actually 5 wholes and it is greater than one whole.

Reductions

• In a reduction you have to have a scale factor less than one in order to reduce.

• Dilating your image by 0.5 will reduce your object because it is less than one whole.

How Perimeter is Affected

• The perimeter is affected the same as the scale factor ALWAYS!

• You would do your perimeter then you would say NO to oreos, and divide the new by original perimeters.

• It is easier to leave the new by old in a fraction when you divide.

How Area is Affected

• The area and scale factor will NEVER be the same as each other.

• You would say NO to oreos and divide new by original to get your answer.

• It is easier to leave your division as a fraction.

Illustration for Enlargement vs. Reduction

10

5

X=5

2.5

The scale factor is ½ because you would set your proportion up like so….. 10/5 = x/2.5. You would have to multiply the 10 by the ½ to get your answer which is X=5.

5.25

10 x

5.2

5

2

1

5

10x

How 2D figures are changed for Area10in.

5in.Area=50in.2

Area=12.5in.2

5in.

2.5in.

5

25.1

10

5.2

5

5/

50

5.12

O

N

How 2D Figures are changed for Perimeter

12in.

10in.5in.

6in.

Perimeter=32in.Perimeter=16in.

2

1

8

4

4

4/

32

16

O

N5in.

10in.