Question

Triangle ABC has vertices A(1,4), B(−2,4) , and C(−1,−1) . A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. What are the coordinates of B' in the dilated image?

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B' has a coordinate pair of (__, __)

Answer 1

Answer: B' has a coordinate pair of (-0.5,1).

Explanation:

Given: Triangle ABC has vertices A(1,4), B(−2,4) , and C(−1,−1) .

A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle.

We know that the coordinates of a shape (x,y) after dilation with scalar factor k will become (kx,ky).

Since the given scale factor
`k= 0.25` and the coordinates for point B = (-2,4)

Therefore, the coordinates of B' will be :-

`(0.25(-2),0.25(4))\rightarrow\ (-0.5,1)`

Answer 2

B'(-0.5, 1)

Explanation:

When dilation is about the origin, multiply the individual coordinate values by the scale factor to find the image coordinates.

B' = 0.25B = 0.25(-2, 4) = (-0.50, 1.00)