Proportions and Similar Figures

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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 ratio of the sides in a 45°-45°-90° triangle?

Back

In a 45°-45°-90° triangle, the ratio of the lengths of the legs to the hypotenuse is 1:1:√2.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the ratio of their corresponding sides.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.