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Dilate the following points by each scale factor (k) provided.P(3, 4) by k=1/2 AndN(4, 15) by k=2

Sagot :

We are asked to dilate the given two points.

P(3, 4) by a scale factor of k = 1/2

Multiply the x and y coordinates by the scale factor.

[tex]P(3,4)\rightarrow P^{\prime}(\frac{1}{2}\cdot3,4\cdot\frac{1}{2})=P^{\prime}(1.5,2)[/tex]

Therefore, the dilated point is P'(1.5, 2)

This is an example of reduction.

Similarly,

N(4, 15) by a scale factor of k = 2

Multiply the x and y coordinates by the scale factor.

[tex]N(4,15)\rightarrow N^{\prime}(2\cdot4,2\cdot15)=N^{\prime}(8,30)[/tex]

Therefore, the dilated point is N'(8, 30)

This is an example of enlargement.

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