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What is the coordinate rule for a dilation centered at (0,0) with a scale factor of 3?

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2 Answers

3 votes

Final answer:

The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is (x', y') = (3x, 3y).

Step-by-step explanation:

A dilation is a transformation that changes the size of a figure without altering its shape. The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is given by the equation:

(x', y') = (3x, 3y)

This means that each coordinate of the original figure is multiplied by the scale factor to find the corresponding coordinate of the dilated figure.

User Dodexahedron
by
8.3k points
1 vote

Answer: (0,0)

Step-by-step explanation:

To find the scale factor of coordinates, you have to multiply the x and y by the scale factor, which is 3.

0 × 3 = 3

0 × 3 = 3

Answer is (0,0)

The rule would be : (x, y) --> (3x, 3y).

User Simon Lenz
by
8.0k points

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