Similar Figures, Dilations and Scale Factor

Similar Figures, Dilations and Scale Factor

Remember how we used to identify Similar Shapes.

BOTH CONDITIONS MUST APPLY.

Multiple Choice

The following triangles are Similar

• TRUE

• FALSE

Moving To Dilations

Dilations happen When Similar Figures get enlarged or reduced

How do we get the Scale Factor?

Drag and Drop

A dilation with a scale factor less than zero is called ​ ​ ​

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Drag these tiles and drop them in the correct blank above

reduction

enlargment

Drag and Drop

A dilation with a scale factor greater than 1 is called ​

Placeholder

Drag these tiles and drop them in the correct blank above

enlargement

reduction

Multiple Choice

Find x.

• 6

• 9

Multiple Choice

Find x.

• 18

• 14

• 12

• 11

Multiple Choice

A figure has a point at (3, 4). When dilated by a factor of 2, the new image point is located where?

• (5, 6)

• (5, 8)

• (6, 8)

• (6, 6)

Fill in the Blank

Dilate by a factor of 5.

A(2, 3), B(1, 4), C(4, 5)

'

(

,

)

,

'

(

,

)

,

'

(

,

)

Drag and Drop

These are ​

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triangles because they have the ​

Placeholder

shape but ​

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size. The sides are ​

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.

Drag these tiles and drop them in the correct blank above

similar

congruent

same

different

proportional

Multiple Select

Which shapes are similar?

(Click on the two you think are similar)

• ABC

• FED

• IHG

Multiple Choice

Two objects that are the same shape but NOT the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary

Multiple Select

choose the shapes that create a dilation.

(CHOOSE ALL THAT APPLY)

• Figure 1

• Figure 2

• Figure 3

• Figure 4

Multiple Choice

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

• Triangle A'B'C' is an enlargement of triangle ABC

• Triangle A'B'C' is a reduction of triangle ABC

• Triangle A'B'C' is a mirror image of triangle ABC

Multiple Choice

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)