Similarity

Front

What is similarity in geometry?

Back

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

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their 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 the scale factor from triangle ABC to triangle DEF is 2, what does this mean?

Back

It means that each side of triangle DEF is twice as long as the corresponding side of triangle ABC.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of the lengths of their corresponding sides are equal.

Front

What is the relationship between corresponding sides of similar figures?

Back

The corresponding sides of similar figures are proportional, meaning the ratios of their lengths are equal.

Front

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

Back

The scale factor is 2, since 8 cm (PQ) divided by 4 cm (XY) equals 2.

Front

What does it mean if two figures are congruent?

Back

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

Front

If the scale factor from figure A to figure B is 1/3, how does the size of figure B compare to figure A?

Back

Figure B is one-third the size of figure A.

Front

What is the value of X if triangle ABC is similar to triangle DEF and the corresponding sides are in the ratio 3:5?

Back

If the corresponding sides are in the ratio 3:5, then X can be determined based on the lengths of the sides given.