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Biblioteka

Dilations and Similar Figures

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Posljednje ažuriranje 10 months ago
23 questions
Napomena autora:

Dilations

Success Criteria 1: I can determine if the scale factor will result in an enlargement or reduction.
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Success Criteria 2: I can apply the scale factor to the pre-image to calculate the coordinates of the image.
Success Criteria 3: I can calculate the scale factor when given the pre-image and the image.
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Success Criteria 4: I can explain the effect of a dilation on a coordinate plane. (Assessment Aligned)
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Success Criteria 5: I can explain the effect on the perimeter and area of a figure after a dilation.
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Pitanje 1
1.
  • SF = .23

  • x, y ---> (.83x, .83y)

  • Reduction

  • Enlargement

1
Pitanje 2
2.

What is the scale factor?

1
Pitanje 3
3.

Is this an enlargement or a reduction?

1
Pitanje 8
8.

What are the vertices of A'B'C' after the dilation?

A' ( , )

B' ( , )

C' ( , )

1
Pitanje 9
9.

What is the rule to describe this dilation?

Rule: x, y --> ( , )

1
Pitanje 10
10.

What is the scale factor?

1
Pitanje 11
11.

Is this an enlargement or a reduction?

,

Pitanje 18
18.

Circle I was dilated with the origin as the center of dilation to create Circle II.

Which rule describes this transformation?

Pitanje 19
19.

Hexagon MNOPQR is dilated with origin as the center of dilation. R' the image of R after the dilation has coordinates R' (-6, -3).

Which of the following represents the rule to the dilation?

Pitanje 20
20.

Pentagon RSTUV is shown on the coordinate grid. It will be dilated with the origin as the center of dilation using the rule (x, y) → (ax, ay) to create quadrilateral R'S'T'U'V'. If vertex R’ will be located at (-2, 3), what is the value of the scale factor a?

What is the value of a?

Pitanje 21
21.

Triangle LMN is dilated by a scale factor of 1/4 to form triangle L′M′N′.

Perimeter of the original: 12

Area of original: 20

What is the perimeter of the new

The area of the image is smaller than the original.

What is the area of the new image is

Pitanje 22
22.

Triangle MNO is dilated by a scale factor of 1/5 to form triangle M′N′O′.

Perimeter of the original: = 22.5 m

Area of original: = 9.8 m

What is the perimeter of the new

The area of the image is smaller than the original.

What is the area of the new image is

Pitanje 23
23.

Triangle MNO is dilated by a scale factor of 3 to form triangle M′N′O′.

Perimeter of the original: = 30 m

Area of original: = 10 m

What is the perimeter of the new

The area of the image is greater than the original.

What is the area of the new image is