Fast and Curious: Similar Figures

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape and proportional size.

Front

What is AA Similarity?

Back

AA Similarity states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is SSS Similarity?

Back

SSS Similarity states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is SAS Similarity?

Back

SAS Similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

Front

Back

Front

What is the scale factor if the lengths of corresponding sides are 6 and 9?

Back

Front

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

Back

This means that each side of the second triangle is twice as long as the corresponding side of the first triangle.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is the square of the scale factor.