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Laabri

Dilations and Similar Figures

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Last updated 10 months ago
23 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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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Asemmisa {{asɛmmisaAhyɛnsode}}
1.
  • x, y ---> (.83x, .83y)

  • SF = .23

  • Reduction

  • Enlargement

1
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

What is the scale factor?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Is this an enlargement or a reduction?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

A' ( , )

B' ( , )

C' ( , )

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Asemmisa {{asɛmmisaAhyɛnsode}}
9.

What is the rule to describe this dilation?

Rule: x, y --> ( , )

1
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

What is the scale factor?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Is this an enlargement or a reduction?

,

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

Which rule describes this transformation?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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