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Understanding Scale Factors and Dilation

Understanding Scale Factors and Dilation

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Mr. Holcomb presents a lesson on the fundamental theorem of similarity, focusing on determining scale factors and locating the center of dilation. The video includes exercises to apply these concepts, with detailed explanations and verifications of measurements. The lesson concludes with exercises exploring scale factors greater and less than one.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the scale factor if the length of the image is 10 cm and the preimage is 5 cm?

5

0.5

2

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the center of dilation?

By finding the intersection of lines through corresponding points

By measuring the distance between image and preimage

By calculating the average of image and preimage lengths

By using a protractor

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the scale factor is 2, what should be the length of the image if the preimage is 36 mm?

18 mm

72 mm

36 mm

54 mm

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the image and preimage in terms of scale factor?

Image is always smaller than preimage

Image is always larger than preimage

Image is the scale factor times the preimage

Image is equal to preimage

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the scale factor using measurements?

By using a compass

By counting the number of sides

By measuring the lengths and checking the ratio

By comparing the areas of image and preimage

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the location of a point after dilation with a scale factor of 4?

By subtracting 4 from each coordinate

By dividing the coordinates by 4

By multiplying the coordinates by 4

By adding 4 to each coordinate

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying a length by a scale factor of 4?

The length remains the same

The length is divided by 4

The length is multiplied by 4

The length is reduced by 4

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