Proportions and Similar Triangles

Front

What is a proportion?

Back

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

Front

How do you find a missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown.

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

What is the relationship between corresponding angles of similar triangles?

Back

The corresponding angles of similar triangles are congruent.

Front

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

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a triangle similar to it with a scale factor of 2?

Back

The lengths of the sides would be 6, 8, and 10.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Front

How do you determine if two polygons are similar?

Back

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