Flashcard: Similar Triangles

Front

What are similar triangles?

Back

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

Front

What is the principle of proportionality in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

If two triangles are similar, how can you find an unknown side length?

Back

You can set up a proportion using the lengths of the corresponding sides of the triangles.

Front

What is the formula to find the height of an object using shadows?

Back

Height of object 1 / Length of shadow 1 = Height of object 2 / Length of shadow 2.

Front

Given a 10 m tall pole casts an 8 m shadow, what is the height of a building that casts a 14 m shadow?

Back

17.5 m.

Front

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

Back

36.6 ft.

Front

What is the height of a lawn ornament that casts a 2 ft shadow if an 8 ft tall telephone booth casts a 4 ft shadow?

Back

4 ft.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

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 ratios of the lengths of corresponding sides are equal.