Similar Triangles and Proportions Flashcard

Front

What are 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 Angle-Angle (AA) criterion for triangle similarity?

Back

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

Front

What does it mean for sides to be proportional in similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

How do you solve for a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the areas of similar triangles?

Back

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

Front

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

Back

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

Front

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

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including those angles are proportional, then the triangles are similar.

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles are congruent.