Exploring Dilations on the Coordinate Plane

This video tutorial explains how to perform dilations on the coordinate plane. It covers the process of multiplying original coordinates by a scale factor to obtain new coordinates and how to determine if a figure is smaller, larger, or congruent after dilation. The tutorial also demonstrates how to find the scale factor by dividing new measurements by original ones and provides examples of dilating various shapes, including triangles and circles. The video emphasizes the importance of using corresponding parts and provides rules for writing dilation equations.

What operation is used to find new coordinates during a dilation?

• Addition

• Division

• Multiplication

• Subtraction

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CCSS.8.G.A.3

How can you determine the new coordinates of a point after dilation?

• By subtracting the scale factor from the original coordinates

• By multiplying the original coordinates by the scale factor

• By dividing the original coordinates by the scale factor

• By adding the scale factor to the original coordinates

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CCSS.8.G.A.3

If a figure is dilated with a scale factor less than 1, how will the resulting figure compare in size?

• Larger

• Smaller

• Congruent

• Cannot be determined

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CCSS.8.G.A.3

CCSS.8.G.A.4

What is the rule for a dilation if the scale factor is 3?

• 3x / 3y

• 3x, 3y

• 3x + 3y

• 3x - 3y

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CCSS.8.G.A.3

CCSS.8.G.A.4

What is the result of a dilation with a scale factor of 1?

• Congruent figure

• Reduction

• Enlargement

• Translation

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CCSS.8.G.A.2

CCSS.8.G.A.3

CCSS.8.G.A.4

How do you find the scale factor from a dilation?

• New coordinates minus original coordinates

• Original coordinates divided by new coordinates

• New coordinates divided by original coordinates

• Sum of new and original coordinates

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CCSS.8.G.A.3

CCSS.8.G.A.4

Which of the following is a reduction?

• Scale factor of 2

• Scale factor of 1/2

• Scale factor of 1

• Scale factor of 3

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CCSS.7.G.A.1

CCSS.7.RP.A.2

What does a scale factor greater than 1 indicate about the dilation?

• No change

• Reduction

• Enlargement

• Rotation

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CCSS.8.G.A.3

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When finding the scale factor, what values are used for division?

• New over original

• Original over new

• Sum of new and original

• Difference between new and original

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CCSS.7.G.A.1

CCSS.7.RP.A.2

Which method is NOT a way to find the scale factor?

• Multiplying corresponding coordinates

• Dividing corresponding side lengths

• Using corresponding ordered pairs

• Dividing new coordinates by original coordinates

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CCSS.7.G.A.1

CCSS.7.RP.A.2