Similar Triangles

Front

What is the SSS similarity postulate?

Back

The SSS (Side-Side-Side) similarity postulate states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the AA similarity theorem?

Back

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

Front

What does SAS similarity theorem state?

Back

The SAS (Side-Angle-Side) similarity theorem states that 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 can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using the AA, SAS, or SSS similarity theorems.

Front

If two triangles have one angle of 60 degrees and another angle of 30 degrees, are they similar?

Back

Yes, they are similar by the AA similarity theorem.

Front

A triangle has sides of lengths 3, 4, and 5. If another triangle has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, they are similar by the SSS similarity postulate.

Front

If a triangle has angles measuring 45°, 45°, and 90°, what type of triangle is it?

Back

It is an isosceles right triangle.

Front

A 10 ft tall tree casts a shadow of 5 ft. If a nearby building casts a shadow of 15 ft, how tall is the building?

Back

The building is 30 ft tall, using the proportionality of similar triangles.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.