
Dilations and Scale Factors
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Standards-aligned
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10 questions
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1.
FLASHCARD QUESTION
Front
Enlargement or reduction? Find the scale factor!
Back
It's a reduction; the scale factor is 1/3.
Answer explanation
The correct choice is 'It's a reduction; the scale factor is 1/3.' This indicates that the figure has been reduced to one-third of its original size, confirming a reduction rather than an enlargement.
Tags
CCSS.8.G.A.3
2.
FLASHCARD QUESTION
Front
Choose the correct scale factor: 2, 3, 1/3, 1/2
Back
2
Answer explanation
The correct scale factor is 2, which means the dimensions of the object are doubled. This choice increases the size proportionally, while the other options either reduce the size or do not fit the requirement.
Tags
CCSS.7.G.A.1
3.
FLASHCARD QUESTION
Front
Back
Answer explanation
To find the image of the point (2, 0) after dilation by a scale factor of 3 from the origin, multiply each coordinate by 3: (2*3, 0*3) = (6, 0). Thus, the correct answer is (6, 0).
Tags
CCSS.8.G.A.3
4.
FLASHCARD QUESTION
Front
Back
Answer explanation
To find the image of the point (4, 3) after dilation by a scale factor of \frac{1}{2} from the origin, multiply each coordinate by \frac{1}{2}: (4 \times \frac{1}{2}, 3 \times \frac{1}{2}) = (2, 1.5). Thus, the correct answer is (2, 1.5).
Tags
CCSS.8.G.A.3
5.
FLASHCARD QUESTION
Front
Back
Answer explanation
To find the image of the endpoint (4, 5) after dilation by a scale factor of 2 from the origin, multiply each coordinate by 2: (4*2, 5*2) = (8, 10). Thus, the correct answer is (8, 10).
Tags
CCSS.8.G.A.3
6.
FLASHCARD QUESTION
Front
Back
Answer explanation
To find the image of the vertex (1, 2) after dilation by a scale factor of 4, multiply each coordinate by 4: (1*4, 2*4) = (4, 8). Thus, the correct answer is (4, 8).
Tags
CCSS.8.G.A.3
7.
FLASHCARD QUESTION
Front
What scale factor was used for the dilation shown? Options: 1/2, 1, 2, 3
Back
1/2
Tags
CCSS.8.G.A.3
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