Similar Triangles and Indirect Measurement

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle if the shortest side is 6?

Back

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

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

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.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if their corresponding sides are in the same ratio.

Front

If two triangles have a ratio of 2:3 for their corresponding sides, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

What is indirect measurement?

Back

Indirect measurement is a method of using similar figures to measure distances or heights that are difficult to measure directly.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they have two pairs of corresponding angles that are equal.

Front

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

Back

The lawn ornament is 4 ft tall.