Similarity

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 corresponding sides are in proportion.

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

All corresponding angles in similar triangles are congruent.

Front

If the scale factor from triangle A to triangle B is 2, what does this mean?

Back

It means that each side of triangle B is twice as long as the corresponding side of triangle A.

Front

How do you determine if two figures are similar?

Back

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

Front

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

Back

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

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 6 and side DE is 3, what is the scale factor?

Back

The scale factor is 1/2.

Front

If the scale factor of two similar triangles is 3, and the length of one side of the smaller triangle is 5, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 15.

Front

What does it mean if two triangles have a scale factor of 1?

Back

If two triangles have a scale factor of 1, they are congruent, meaning they are the same size and shape.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 8 and side PQ is 4, what is the scale factor?

Back

The scale factor is 2.