Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to the relationship between two shapes that have the same shape but may differ in size. This means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

Define corresponding sides in similar triangles.

Back

Corresponding sides in similar triangles are the sides that are in the same relative position in each triangle. For example, if triangle ABC is similar to triangle DEF, then side AB corresponds to side DE, side BC corresponds to side EF, and side AC corresponds to side DF.

Front

What is the similarity ratio?

Back

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy one of the following criteria: 1) AA (Angle-Angle) Criterion: If two angles of one triangle are equal to two angles of another triangle. 2) SSS (Side-Side-Side) Criterion: If the ratios of the lengths of corresponding sides are equal. 3) SAS (Side-Angle-Side) Criterion: If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal.

Front

What is the formula for finding the ratio of corresponding sides?

Back

Front

If triangle ABC is similar to triangle DEF, and AB = 6 and DE = 3, what is the similarity ratio?

Back

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means that they do not have the same shape, which implies that their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

How can you find the length of a side in a similar triangle?

Back

To find the length of a side in a similar triangle, use the similarity ratio. If you know the length of one side and the ratio, you can set up a proportion to solve for the unknown side length.

Front

What is the relationship between the areas of two similar figures?

Back

Front

If triangle ABC has an area of 24 square units and is similar to triangle DEF with a similarity ratio of 2:1, what is the area of triangle DEF?

Back