Question

A polygon is graphed on a coordinate plane, with a vertex located at

a point represented by (x,y).
The polygon is dilated with a scale factor, a , with the origin as the
center of dilation. The dilated image of the polygon is larger than
the polygon.
Which statement is true?

Answer 1

a is greater than 1

Explanation:

Let the two polygons be represented as A and B.

Where A is the original polygon and B is the image of A

Such that

Polygon A has vertex (x,y) and scale factor = a

From the question, we understand that polygon B is bigger than A

When the dilated image (polygon B) is bigger than the original image (polygon A), then the scale factor is greater than 1.

Take for instance.

One of the coordinate point of polygon A is (2,4)

The corresponding coordinate point of polygon B will be greater than (2,4) because a is greater than 1.

Take a as 2:

The corresponding point on Polygon B would be 2 * (2,4) = (4,8)