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

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional (AA, SSS, or SAS similarity criteria).

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What is the SSS criterion for triangle similarity?

Back

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

Front

What is the SAS criterion for triangle 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, then the triangles are similar.

Front

How can you use a mirror to find the height of an object?

Back

You can use similar triangles formed by the mirror and the object to find the height. Measure the distance from the mirror to your eyes and the distance from the mirror to the object, then set up a proportion to solve for the height.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If two figures are similar, how do their areas compare?

Back

The areas of similar figures are proportional to the square of the ratio of their corresponding side lengths.

Front

What is the formula for finding the missing side in similar triangles?

Back

If two triangles are similar, you can set up a proportion: (side1/side2) = (missing side/known side) to find the missing side.