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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’?

Sagot :

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 [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

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:

[tex](x,y) \to k(x,y)[/tex]

Substitute 4/3 for k

[tex](x,y) \to \frac 43(x,y)[/tex]

Expand

[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

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

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