3.3 Similar Triangles - Angles

Front

What is the AA similarity theorem?

Back

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

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the SAS similarity theorem?

Back

The SAS (Side-Angle-Side) similarity theorem 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

What is the SSS similarity theorem?

Back

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

Front

How can you determine if two triangles are similar using angles?

Back

If all pairs of corresponding angles in two triangles are congruent, then the triangles are similar.

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

If triangle A has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of a similar triangle would also be 30°, 60°, and 90°.

Front

Can two triangles with one pair of equal angles be similar?

Back

Yes, if two triangles have one pair of equal angles, they are similar by the AA similarity theorem.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion.

Front

If triangle A has sides of lengths 3, 4, and 5, what are the side lengths of a similar triangle with a scale factor of 2?

Back

The side lengths of the similar triangle would be 6, 8, and 10.