A triangle with vertices at $$(1, 2)$$ , $$(3, 4)$$ , and $$(5, 6)$$ is dilated by a factor of 2 centered at the origin. What are the new coordinates of the vertices?

$$(2, 4)$$ , $$(6, 8)$$ , $$(10, 12)$$

$$(0.5, 1)$$ , $$(1.5, 2)$$ , $$(2.5, 3)$$

$$(1, 2)$$ , $$(3, 4)$$ , $$(5, 6)$$

$$(3, 6)$$ , $$(9, 12)$$ , $$(15, 18)$$

If a square with vertices at $$(0, 0)$$ , $$(0, 2)$$ , $$(2, 0)$$ , and $$(2, 2)$$ is dilated by a factor of $$\frac{1}{2}$$ centered at the origin, what are the new coordinates of the vertices?

$$(0, 0)$$ , $$(0, 1)$$ , $$(1, 0)$$ , $$(1, 1)$$

$$(0, 0)$$ , $$(0, 4)$$ , $$(4, 0)$$ , $$(4, 4)$$

$$(0, 0)$$ , $$(0, 3)$$ , $$(3, 0)$$ , $$(3, 3)$$

$$(0, 0)$$ , $$(0, 0.5)$$ , $$(0.5, 0)$$ , $$(0.5, 0.5)$$

A rectangle with vertices at $$(1, 1)$$ , $$(1, 3)$$ , $$(4, 1)$$ , and $$(4, 3)$$ is dilated by a factor of 3 centered at the origin. What are the new coordinates of the vertices?

$$(3, 3)$$ , $$(3, 9)$$ , $$(12, 3)$$ , $$(12, 9)$$

$$(1, 1)$$ , $$(1, 3)$$ , $$(4, 1)$$ , $$(4, 3)$$

$$(0.33, 0.33)$$ , $$(0.33, 1)$$ , $$(1.33, 0.33)$$ , $$(1.33, 1)$$

$$(2, 2)$$ , $$(2, 6)$$ , $$(8, 2)$$ , $$(8, 6)$$

Understanding Dilations and Scale Factors

Authored by Kathleen N Nickell

Mathematics

8th Grade

CCSS covered

Used 1+ times

Understanding Dilations and Scale Factors

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

0.5

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is true about the effect of a dilation with a scale factor greater than 1?

The figure becomes smaller.

The figure remains the same size.

The figure becomes larger.

The figure is reflected.

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a dilation centered at the origin has a scale factor of 1, what happens to the figure?

The figure is enlarged.

The figure is reduced.

The figure remains unchanged.

The figure is reflected.

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following points will remain unchanged after a dilation centered at the origin?

Tags

CCSS.8.G.A.3

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Understanding Dilations and Scale Factors

Which of the following is true about the effect of a dilation with a scale factor greater than 1?

If a dilation centered at the origin has a scale factor of 1, what happens to the figure?

Which of the following points will remain unchanged after a dilation centered at the origin?

What is the scale factor of the dilation shown?

Dilate the triangle by a scale factor of 1/2. What are the coordinates of B'?

What type of transformation changes the size?

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