Dilations and Scale Factors

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 3.

• It's a reduction; the scale factor is 1/3.

• It's a reduction; the scale factor is 1/2.

• It's an enlargement; the scale factor is 2. 

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.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

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.HSG.CO.A.2

CCSS.HSG.SRT.A.1

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.HSG.SRT.A.1

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.HSG.SRT.A.1

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.HSG.SRT.A.1

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.HSG.SRT.A.1

What scale factor was used for the dilation shown?

• 1/2

• 1

• 2

• 3

Tags

CCSS.HSG.SRT.A.1

A triangle has the following vertices: (2,4), (4,2), (6,6). If a dilation is performed with a scale factor of 2, What are the vertices of the new triangle? (The center of dilation is the origin)

• (1,2), (2,1), (3,3)

• (4,8),(8,4), (12,12)

• (4,8), (4,8), (12,12)

• (6,12), (12,6), (18,18)

Tags

CCSS.HSG.SRT.A.1

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)
• (12, 6)
• (3, -1.5)
• (0, 1.5)

Tags

CCSS.HSG.SRT.A.1

Dilate Point B by a scale factor of 3:

• (12,0)
• (12,12)
• (4,3)
• (0,12)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.SRT.A.1