Questions: Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.

Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
Transcript text: Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
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Solution

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Solution Steps

Step 1: Identify the coordinates of the original vertices.

The coordinates of the vertices of the quadrilateral KLMN are:

K(-1, -2) L(1, -1) M(-1, 0) N(-2, -1)

Step 2: Apply the dilation.

A dilation with a scale factor of 4 centered at the origin multiplies each coordinate of the vertices by 4.

K'(-1 * 4, -2 * 4) = K'(-4, -8) L'(1 * 4, -1 * 4) = L'(4, -4) M'(-1 * 4, 0 * 4) = M'(-4, 0) N'(-2 * 4, -1 * 4) = N'(-8, -4)

Final Answer

K'(-4, -8) L'(4, -4) M'(-4, 0) N'(-8, -4)

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