Question

Quadrilateral HIJK has vertices H(−1, 3) , I(2, 3) , J(2,−1) , and K(−3,−1) . It is dilated by a scale factor of 7 with a center of dilation at (0, 0) .'

Answer 1

To dilate a quadrilateral with a scale factor of 7 and a center of dilation at (0, 0), you need to multiply the coordinates of each vertex by the scale factor. Here's how you can do that for each vertex of quadrilateral HIJK:

Vertex H(-1, 3):

Multiply both x and y coordinates by 7:

New H' coordinates: (-1 * 7, 3 * 7) = (-7, 21)

Vertex I(2, 3):

Multiply both x and y coordinates by 7:

New I' coordinates: (2 * 7, 3 * 7) = (14, 21)

Vertex J(2, -1):

Multiply both x and y coordinates by 7:

New J' coordinates: (2 * 7, -1 * 7) = (14, -7)

Vertex K(-3, -1):

Multiply both x and y coordinates by 7:

New K' coordinates: (-3 * 7, -1 * 7) = (-21, -7)

So, after dilating quadrilateral HIJK by a scale factor of 7 with a center of dilation at (0, 0), the new coordinates of the vertices are:

H'(-7, 21)

I'(14, 21)

J'(14, -7)

K'(-21, -7)

Explanation:

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