Review - Transformations and Similar Triangles

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.

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

When figures are similar, their corresponding sides are__________________.

Back

proportional.

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are the triangles similar?

Back

Yes, triangle A and triangle B are similar by the SSS criterion.

Front

If two triangles have one angle of 60 degrees and the other angle of 30 degrees, what can be said about their similarity?

Back

The triangles are similar by the AA criterion.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If triangle A is similar to triangle B and the length of a side of triangle A is 5, and the corresponding side of triangle B is 10, what is the scale factor?

Back

The scale factor is 2.

Front

If two triangles are not similar, what can be concluded about their angles and sides?

Back

If two triangles are not similar, their corresponding angles are not equal, and their corresponding sides are not proportional.