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Figure B is a dilation of Figure A.Which is the scale factor in the dilation?

Figure B is a dilation of Figure A.Which is the scale factor in the dilation?-example-1
User Sepehr Samini
by
2.5k points

1 Answer

17 votes
17 votes

Answer:

1/2

Step-by-step explanation:

If B is a dilation of figure A, the length of a given side in B will be equal to the scale factor times the corresponding side in A.

So, if 10 in figure A is corresponding to 5 in figure B, we get:

5 = k(10)

Where k is the scale factor.

Then, solving for k, we get:

5/10 = k(10)/10

1/2 = k

Therefore, the scale factor in the dilation is 1/2.

We can also say that B is smaller than A, so the scale factor should be a number lower than 1. Since 5 is half 10, we can say that the scale factor is one-half or 1/2.

User Davidrelgr
by
2.6k points
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