Properties of Dilations

Area of a dilated image is

• multiplied by the scale facotr

• multiplied by the scale factor squared

• double the pre-image area

• no relation found

Which property is ONLY for dilations?

• Corresponding angles congruent

• Corresponding side length ratios are congruent

• Same shape, different sizes

• Same position

Is the following a dilation?

• Yes

• No

Assuming that the lengths of the sides have congruent ratios, can the following be a dilation?

• No, because the shapes are facing different directions

• No, because the angles will not be congruent

• Yes, because the triangles would meet all the requirements of dilations.

• Yes, because the triangles would be congruent.

Find the scale factor! Note that this is going from the BIGGER NUMBERS to the SMALLER NUMBERS

Mathematical Equivalence

ON

Find the scale factor!

Mathematical Equivalence

ON

Answer explanation

Fun fact, all circles are similar to one another, and unless points are labeled to rotate it, they are usually dilations as well.

Find the scale factor!

Mathematical Equivalence

ON

Find the scale factor! Note that this is going from the BIGGER NUMBERS to the SMALLER NUMBERS

Mathematical Equivalence

ON

In order to see if sides have equal ratios given coordinates, you can find the value that ​ (a)   to get the new coordinates. If these ratios are all the same, this number is called the ​ (b)   .

• multiplies

• scale factor

• adds

• subtracts

• center of dilation

• variable

What is the scale factor of the dilation that takes ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3