Similar Triangles

Front

What is the SSS Postulate?

Back

The SSS (Side-Side-Side) Postulate states that if the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are similar.

Front

What is the SAS Postulate?

Back

The SAS (Side-Angle-Side) Postulate 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 AA Postulate?

Back

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

Front

If a statue is 42.9 ft tall and casts a shadow of 253.1 ft, how long is the shadow of a 6.2 ft tall man?

Back

36.6 ft

Front

If a telephone booth is 8 ft tall and casts a shadow of 4 ft, what is the height of a lawn ornament that casts a 2 ft shadow?

Back

4 ft

Front

What is the relationship between the heights and shadows of similar triangles?

Back

The ratio of the heights of two similar triangles is equal to the ratio of the lengths of their corresponding shadows.

Front

How do you determine if two triangles are similar using the SSS Postulate?

Back

Measure the lengths of the corresponding sides of both triangles and check if the ratios are equal.

Front

How do you determine if two triangles are similar using the SAS Postulate?

Back

Measure two sides of each triangle and the included angle; if the sides are proportional and the angle is equal, the triangles are similar.

Front

How do you determine if two triangles are similar using the AA Postulate?

Back

Check if two angles of one triangle are equal to two angles of another triangle; if so, the triangles are similar.

Front

What is a real-world application of similar triangles?

Back

Similar triangles can be used in architecture and engineering to create scale models and to calculate heights and distances indirectly.