Question

Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?

Answer 1

When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths

The algebraic rule  is $(x,y) \to (\frac 43x,\frac 43y)$

How to determine the algebraic rule?

From the question, we understand that:

The scale factor (k) of the dilation is:

k = 4/3

The dilation rule across the origin is represented as:

$(x,y) \to k(x,y)$

Substitute 4/3 for k

$(x,y) \to \frac 43(x,y)$

Expand

$(x,y) \to (\frac 43x,\frac 43y)$

Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is $(x,y) \to (\frac 43x,\frac 43y)$

Read more about dilation at:

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