Similar Triangles & Indirect Measurements

Front

Matching angles are called

Back

Corresponding Angles

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

Back

72 feet

Front

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

Back

32 feet

Front

Matching sides are called

Back

Corresponding Sides

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes.

Front

What is the principle of indirect measurement?

Back

Using similar triangles to find the height or distance of an object that is difficult to measure directly.

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

What is a proportion in the context of similar triangles?

Back

An equation that states that two ratios are equal.