Similarity Review

Similarity Review

Poll

What do you want to focus on more today?

• Dilations and solving proportions

• Identifying similarities

Solve this proportion

Note that GN corresponds to GE. And GM corresponds to GF.

Multiple Choice

Solve this proportion

• 4

• 11

• 15.36

Solve this proportion

Take note of the sides that must correspond from the order of the similarity statement.

Multiple Choice

Solve this proportion

• 36

• 4/3

• 1.333

Solve this proportion

Take note of the sides that must correspond from the order of the similarity statement.

Multiple Choice

Solve this proportion

• 15

• 11

• 1.5

Solve this proportion

Take note of the sides that must correspond from the order of the similarity statement.

Multiple Choice

Solve this proportion

• 0.714

• 1.4

• 70

Solve this proportion

Take note that when triangles are nested within each other like this, the sides that lie on the same side will correspond.

Multiple Choice

Solve this proportion

• 65

• 66

• 1.2

Determine the dilated coordinates

First start by identifying the current coordinates, then multiply by the scale factor.

Fill in the Blanks

What is the dilated coordinate for the point M?

Determine the dilated coordinates

First start by identifying the current coordinates, then multiply by the scale factor.

Fill in the Blanks

What is the dilated coordinate for the point N?

Multiple Select

Triangles can be similar if... (select all that apply)

• All 3 sides are proportional (SSS)

• At least 2 angles are congruent (AA)

• One side is proportional (S)

• Two sides are proportional (SS)

• Two sides are proportional with an included congruent angle (SAS)

Testing for Similarity

• Compare the sides - which side is the longest/shortest on each triangle

• Check if those parts correspond

• Set up your proportions dilated/original = dilated/original

Poll

Were the triangles from the previous slide similar?

• yes

• no

Multiple Choice

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar

Multiple Choice

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar

Multiple Choice

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar

Multiple Choice

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar

Multiple Choice

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar

Multiple Choice

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar

Multiple Select

Are these triangles similar? If yes, how are they similar?

• SSS

• SAS

• AA

• not similar