Similar Triangles

Front

What is the SSS similarity postulate?

Back

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

Front

What is the SAS similarity postulate?

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

What is the AA similarity postulate?

Back

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

Front

How can you determine if two triangles are similar?

Back

By using the SSS, SAS, or AA similarity postulates.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, are the triangles similar?

Back

Yes, they are similar by SSS postulate.

Front

If triangle A has angles of 30°, 60°, and 90°, what can you say about triangle B with angles of 30°, 60°, and 90°?

Back

Triangle B is similar to triangle A by AA postulate.

Front

What does it mean for triangles to be similar?

Back

It means they have the same shape but may differ in size; corresponding angles are equal and corresponding sides are in proportion.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the SAS postulate.

Front

Can two triangles be similar if they have no angles equal?

Back

No, triangles cannot be similar without at least two angles being equal.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.