Similarity Test Review

Front

What is the definition of similarity in geometry?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure. In dilation, if the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks.

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. For example, if the original point is (x, y) and the scale factor is k, the new coordinates will be (kx, ky).

Front

What is the formula for setting up a proportion?

Back

Front

How do you solve for a variable in a proportion?

Back

Front

What does it mean for triangles to be similar?

Back

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

Front

What is the relationship between the sides of similar triangles?

Back

Front

How do you perform a dilation on a figure?

Back

To perform a dilation, choose a center point and a scale factor. Multiply the distance from the center to each point of the figure by the scale factor to find the new coordinates.

Front

What is the significance of the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted. It determines the direction and distance of the dilation.

Front

Back