Dilation and Scale Factors

Dilation and Scale Factors

8th Grade

20 Qs

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Dilation and Scale Factors

Dilation and Scale Factors

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

CCSS
8.G.A.3, HSG.SRT.A.2, 7.G.A.1

+1

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

OPEN ENDED QUESTION

1 min • 1 pt

Calculating Scale Factor: A rectangle is dilated, and the dimensions change from 5 cm by 8 cm to 15 cm by 24 cm. Calculate the scale factor.

Evaluate responses using AI:

OFF

Answer explanation

To find the scale factor, divide the new dimensions by the original dimensions. For width: 15 cm / 5 cm = 3. For height: 24 cm / 8 cm = 3. The scale factor is 3.

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A triangle is dilated by a scale factor of 3. If the original side length is 5 units, what is the side length of the dilated triangle?

15 units

8 units

10 units

5 units

Answer explanation

To find the side length of the dilated triangle, multiply the original side length (5 units) by the scale factor (3). Thus, 5 units x 3 = 15 units, making the correct answer 15 units.

Tags

CCSS.8.G.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a figure is dilated by a scale factor of 1/2, what happens to its size?

It doubles in size.

It is reduced to half its size.

It remains the same size.

It triples in size.

Answer explanation

A scale factor of 1/2 means each dimension of the figure is multiplied by 1/2, resulting in a size that is half of the original. Therefore, the correct answer is that it is reduced to half its size.

Tags

CCSS.8.G.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A rectangle with dimensions 4 cm by 6 cm is dilated by a scale factor of 2. What are the dimensions of the new rectangle?

8 cm by 12 cm

6 cm by 8 cm

2 cm by 3 cm

12 cm by 24 cm

Answer explanation

To find the dimensions of the new rectangle after dilation, multiply each original dimension by the scale factor of 2. Thus, 4 cm becomes 8 cm and 6 cm becomes 12 cm, resulting in dimensions of 8 cm by 12 cm.

Tags

CCSS.8.G.A.3

5.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.3

6.

MATCH QUESTION

1 min • 5 pts

Match the following to show a dilation by a scale factor k=5.

(5,0)

(2, 3)

(15,-10)

(1, 0)

(-5,5)

(3, -2)

(10,15)

(0, -1)

(0,-5)

(-1, 1)

Tags

CCSS.8.G.A.3

7.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.3

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