Understanding Similarity

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are always equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, corresponding sides are proportional.

Front

If two triangles are similar, what can we say about their sides?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

True or False: Similar figures must have the same size.

Back

False. Similar figures can be of different sizes but must have the same shape.

Front

What is the term for the ratio of the lengths of corresponding sides in similar figures?

Back

The term is 'scale factor'.

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

Which of the following statements is NOT true about similar figures? A) They have the same shape. B) They have the same size. C) Their corresponding angles are equal. D) Their corresponding sides are proportional.

Back

B) They have the same size.

Front

If two figures are similar, what can we conclude about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

What is an example of similar figures in real life?

Back

An example is a map and the actual geographical area it represents; both have the same shape but different sizes.