Geometry - Dilation & Similarity

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a center of dilation and a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In dilation, it determines how much larger or smaller the image will be compared to the original figure.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Front

If the scale factor is less than 1 but greater than 0, what happens to the figure?

Back

The figure reduces in size.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor and then add the coordinates of the center of dilation.

Front

What is the algebraic notation for dilation with a scale factor of k?

Back

If (x, y) is the original point, the notation is (x, y) goes to (kx, ky).

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means they do not have the same shape, which can be due to differing angles or non-proportional sides.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted during the dilation process.