Similar Triangles Review

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the scale factor in a dilation?

Back

The ratio of the lengths of corresponding sides of the original figure to the lengths of corresponding sides of the image after dilation.

Front

If triangle ABC is dilated by a scale factor of 1/2, what happens to the lengths of its sides?

Back

The lengths of the sides of triangle ABC will be halved.

Front

What is the AA (Angle-Angle) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS (Side-Side-Side) similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS (Side-Angle-Side) similarity criterion?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply the coordinates of the original point by the scale factor.

Front

What is a similarity statement?

Back

A statement that indicates two figures are similar, typically written in the form ΔABC ~ ΔDEF.

Front

What does it mean for triangles to be not similar?

Back

Triangles that do not have equal corresponding angles or proportional corresponding sides.

Front

What is the effect of a scale factor greater than 1 on a triangle?

Back

The triangle will be enlarged.