Similar Triangles & Indirect Measurements

Front

What are matching angles called?

Back

Corresponding Angles

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

What is the height of the tree?

Back

15 ft

Front

Solve for X in the proportion: 2/3 = X/6

Back

2 ft

Front

What are matching sides called?

Back

Corresponding Sides

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you set up a proportion for similar triangles?

Back

By comparing the ratios of the lengths of corresponding sides.

Front

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

Back

All corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

1:2

Front

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

Back

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