Similarity Review

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides.

Front

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

Back

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

Front

How do you find the scale factor from a smaller figure to a larger figure?

Back

To find the scale factor from a smaller figure to a larger figure, divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in different figures when the figures are similar.

Front

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

Back

The formula is: (side length of triangle 1) / (side length of triangle 2) = (missing side length) / (known side length).

Front

What is the significance of alternate interior angles in similar figures?

Back

Alternate interior angles are equal when two parallel lines are cut by a transversal, which helps in proving the similarity of triangles.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Front

What does it mean if two figures are not in the same orientation but are similar?

Back

If two figures are similar but not in the same orientation, it means they have the same shape and size but are rotated or flipped.