Similar Figures

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

What does it mean for sides to be proportional in similar figures?

Back

Sides are proportional when the ratios of the lengths of corresponding sides of two similar figures are equal.

Front

What is the AA criterion for similarity?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SSS criterion for similarity?

Back

The SSS (Side-Side-Side) criterion states that if the lengths of the corresponding sides of two triangles are proportional, the triangles are similar.

Front

What is the SAS criterion for similarity?

Back

The SAS (Side-Angle-Side) criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

How do you determine if two triangles are not similar?

Back

Two triangles are not similar if none of the similarity criteria (AA, SSS, SAS) are satisfied.

Front

What is the formula for finding the scale factor of similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If two similar triangles have a scale factor of 2:3, what does this mean?

Back

This means that for every 2 units in one triangle, there are 3 corresponding units in the other triangle.

Front

How do you solve for x in similar figures?

Back

Set up a proportion using the lengths of corresponding sides and solve for x.

Front

What is the relationship between the areas of similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.