Similar Triangles - Indirect Measurement

Front

What are similar triangles?

Back

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

Front

What is the principle of indirect measurement?

Back

A method used to find the height or distance of an object by using the properties of similar triangles.

Front

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

Back

By setting up a proportion between the heights and distances of two similar triangles.

Front

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

Back

Their corresponding angles are equal.

Front

If the height of a small triangle is 5 ft and the height of a similar triangle is 15 ft, what is the ratio of their heights?

Back

The ratio is 1:3.

Front

What are corresponding sides in similar triangles?

Back

Sides of two triangles that are in the same relative position.

Front

If a flagpole casts a shadow of 10 ft and a 5 ft person casts a shadow of 2 ft, how tall is the flagpole?

Back

The flagpole is 25 ft tall.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height of object = (Height of shadow) * (Distance to object) / (Distance to shadow)

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If triangle A has sides of 4, 6, and 8, and triangle B has sides of 2, 3, and 4, are they similar?

Back

Yes, they are similar because the ratios of corresponding sides are equal.