Exploring Similar Triangles and Polygons

Which of the following pairs of triangles are similar?

Which of the following statements is true about similar polygons?

• All corresponding angles are equal, and all corresponding sides are equal.

• All corresponding angles are equal, and all corresponding sides are proportional.

• All corresponding sides are equal, but angles may differ.

• Only the perimeters are equal.

Which of the following is NOT a valid method to prove two triangles are similar?

• AA (Angle-Angle)

• SSS (Side-Side-Side) with proportional sides

• SAS (Side-Angle-Side) with proportional sides and included angle equal

• SSA (Side-Side-Angle)

Which of the following sets of side lengths could be the sides of two similar triangles?