Dilation and Scale Factors
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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20 questions
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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.
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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
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)
(0, -1)
(0,-5)
(2, 3)
(15,-10)
(-1, 1)
(-5,5)
(1, 0)
(10,15)
(3, -2)
Tags
CCSS.8.G.A.3
7.
MATH RESPONSE QUESTION
1 min • 1 pt
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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