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Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement
Then find its scale factor.

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement Then find its scale factor class=

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Answer:

see explanation

Step-by-step explanation:

Since figure B is smaller than Figure A then Figure B is a reduction.

To find the scale factor, calculate the ratio of corresponding sides, image to original.

Using the base lines of both triangles, then

scale factor k = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

The given dilation is a reduction with scale factor [tex]k=\dfrac{1}{3}[/tex].

Important information:

  • Figure A is dilated to Figure B.

We need to find whether the dilation is a reduction or an enlargement and then we need to find the scale factor.

Scale factor:

From the given graph it is clear that figure B is smaller than figure A. So, the given dilation is a reduction.

Base of Figure A = 6

Base of Figure B = 2

The scale factor is:

[tex]k=\dfrac{\text{Side of scaled figure}}{\text{Side of original figure}}[/tex]

[tex]k=\dfrac{2}{6}[/tex]

[tex]k=\dfrac{1}{3}[/tex]

Thus, the scale factor is [tex]k=\dfrac{1}{3}[/tex].

Find out more about 'Scale factor' here:

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