Setting up Similar Figures

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 in proportion.

Front

What is the definition of corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position. For example, in two similar triangles, the side lengths are proportional.

Front

What is the relationship between angles in similar figures?

Back

All corresponding angles in similar figures are congruent (equal in measure).

Front

How do you set up a proportion to find a missing side in similar figures?

Back

To find a missing side, set up a proportion using the lengths of corresponding sides from the similar figures.

Front

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

Back

The ratio of their sides is 1:2.

Front

What is the formula for finding the length of a shadow using similar figures?

Back

Front

If a 5-foot tall person casts a shadow of 3 feet, how long will a 10-foot tall building's shadow be?

Back

Front

What does it mean if two figures are congruent?

Back

Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the significance of the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures, indicating how much one figure is enlarged or reduced compared to the other.

Front

How do you determine the scale factor between two similar triangles?

Back

To determine the scale factor, divide the length of one side of the first triangle by the length of the corresponding side of the second triangle.