Dilation Review

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, either enlarging or shrinking it.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or shrunk during a dilation.

Front

If a triangle with vertices A(2, 3), B(4, 5), and C(6, 3) is dilated by a scale factor of 2, what are the new coordinates?

Back

A'(4, 6), B'(8, 10), C'(12, 6)

Front

What happens to the coordinates of a point (x, y) when it is dilated from the origin by a scale factor k?

Back

The new coordinates will be (kx, ky).

Front

If a quadrilateral is dilated by a scale factor of 1/2, what happens to its area?

Back

The area of the quadrilateral is reduced to 1/4 of its original area.

Front

What is the effect of a scale factor greater than 1 on a figure?

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor between 0 and 1 on a figure?

Back

A scale factor between 0 and 1 shrinks the figure.

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 3, what is the relationship between their areas?

Back

The area of triangle A'B'C' is 9 times the area of triangle ABC.

Front

How do you find the scale factor when given the original and dilated coordinates?

Back

Divide the coordinates of the dilated figure by the corresponding coordinates of the original figure.

Front

What is the formula for the coordinates of a dilated point (x, y) from a center of dilation (h, k)?

Back

The new coordinates are (h + k(x - h), k + k(y - k)).