Solving Proportions in Similar Figures

Front

What are matching sides in similar figures called?

Back

Corresponding Sides

Front

How can you find the height of a tall object using similar triangles?

Back

By using a mirror and measuring the distance from the observer to the mirror and from the mirror to the object.

Front

What is the formula for finding the missing side in similar figures?

Back

The ratio of the lengths of corresponding sides is equal.

Front

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

Back

Their corresponding angles are equal.

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides are equal.

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply and then isolate the variable.

Front

What is the significance of corresponding sides in similar figures?

Back

They help establish the proportional relationships necessary for solving problems.

Front

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

Back

1:2

Front

What is the height of a tree if the distance from the observer to the mirror is 36 feet and the distance from the mirror to the tree is 72 feet?

Back

72 feet (using the properties of similar triangles).

Front

Which side length corresponds with side EF in triangle XYZ?

Back

Side LM in triangle ABC.