Dilations and Scale Factors

Dilations and Scale Factors

Assessment

Flashcard

Mathematics

8th Grade

Hard

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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.

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.

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).

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).

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).

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).

7.

FLASHCARD QUESTION

Front

What scale factor was used for the dilation shown? Options: 1/2, 1, 2, 3

Back

1/2

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