Dilation and Proportions

A dilation is which of the following: 

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA Similarity Theorem

• Yes, SAS Similarity Theorem

• Yes, SSS Similarity Theorem

• Not Similar

Dilations-Finding the Scale Factor

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

• 2

• 3

If two figures are similar,

then the sides are _________________.

• proportional

• congruent

• none of these

• equal

Determine if Triangles are Similar

Are these triangles similar?

If so how?

• Yes, by SSS

• Yes, by AA

• Not Similar

Solving for Missing Pieces

Find side length X.

• x=15

• x=21

• x=18

• x=3

Solving for Missing Pieces

Find side length X.

• x=25

• x=15

• x=100

• x=30

Dilations-Perform Dilations

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Dilations-Finding the Scale Factor

A ~ B. What is the scale factor of the dilation of A to B?

• 3

• 4

Determine if Triangles are Similar

Are these triangles similar?

If so, how?

• Not Similar

• Yes, by AA

• Yes, by SSS