G-6.4 FLASHCARD Similar Triangles & Indirect Measurements

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 measure objects that are difficult to measure directly by using similar triangles.

Front

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

Back

Their corresponding angles are equal.

Front

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

Back

Their corresponding sides are in proportion.

Front

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

Back

By setting up a proportion between the height of the object and the length of its shadow compared to a similar triangle.

Front

What is the formula for finding the length of a side in similar triangles?

Back

If triangle A is similar to triangle B, then (side length of A)/(side length of B) = (corresponding side length of A)/(corresponding side length of B).

Front

Example: If a 42.9 ft tall statue 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 tree if it casts a shadow of 15 ft and is similar to a 6.2 ft tall man casting a shadow of 36.6 ft?

Back

15 ft.

Front

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

Back

The ratio of the heights is equal to the ratio of the lengths of the shadows.

Front

If triangle A has sides of 3 ft, 4 ft, and 5 ft, and triangle B is similar to triangle A with a side of 6 ft, what is the length of the corresponding side in triangle B?

Back

8 ft.