similar figures, indirect measurement, algebraic proportions

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Front

How do you set up a proportion?

Back

To set up a proportion, you create a fraction for each pair of corresponding sides and set them equal to each other.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, what is the ratio of height to shadow length?

Back

The ratio is 12:9, which simplifies to 4:3.

Front

What is indirect measurement?

Back

Indirect measurement is a method used to measure objects that are difficult to measure directly, often using proportions and similar figures.

Front

How can you find a missing side length in similar figures?

Back

You can find a missing side length by setting up a proportion using the known side lengths of the similar figures.

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.

Front

If two triangles are similar, what can you say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and their corresponding sides are proportional.