Similar Triangles Word Problems

Front

What are similar triangles?

Back

Similar triangles are 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 property of angles in similar triangles?

Back

The angles in similar triangles are congruent to each other.

Front

What is the property of sides in similar triangles?

Back

The sides of similar triangles are proportional to each other.

Front

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

Back

The ratios of the lengths of their corresponding sides are equal.

Front

How do you find the height of an object using similar triangles?

Back

You can use the ratio of the height of the object to the length of its shadow and set it equal to the ratio of the height of a reference object to its shadow.

Front

Kameron is 4.5 ft tall and casts a 9 ft shadow. If a tree is 18 ft tall, how long is the tree's shadow?

Back

36 ft.

Front

A power pole 10 m tall casts a shadow 8 m long. If a building casts a shadow 14 m long, how tall is the building?

Back

17.5 m.

Front

Which statement is NOT true about similar triangles?

Back

The triangles must have at least one side that is the same length.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is 180 degrees.

Front

How can you use a mirror to find the height of a tree?

Back

By standing at a distance where you can see the top of the tree in the mirror, you can create similar triangles to calculate the height.