Similarity Test Review

Front

What is the definition of similar triangles?

Back

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

Front

What is the similarity ratio?

Back

The similarity ratio is the ratio of the lengths of corresponding sides of two similar figures. It is constant for all pairs of corresponding sides.

Front

How do you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if: 1) Their corresponding angles are equal (AA criterion), or 2) The lengths of their corresponding sides are proportional (SSS criterion), or 3) Two sides are proportional and the included angle is equal (SAS criterion).

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is the ratio of the length of a side of the image to the length of the corresponding side of the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB, DE are 4 and 8 respectively, what is the similarity ratio?

Back

Front

What is the formula for finding the area of similar figures?

Back

Front

What does it mean to dilate a figure by a scale factor of 2?

Back

To dilate a figure by a scale factor of 2 means to enlarge the figure so that each point is moved away from the center of dilation by a distance that is twice the original distance.

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 relationship between corresponding sides of similar triangles?

Back

Front

What is the equation for solving proportions?

Back