Congruent and Similar Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in shape and size. They can be superimposed on each other.

Front

What are similar figures?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and their sides are in proportion.

Front

How can you determine if two figures are similar?

Back

You can determine if two figures are similar by making proportions of their corresponding sides.

Front

If two triangles are congruent, what can you say about their angles?

Back

If two triangles are congruent, all their corresponding angles are equal.

Front

What is the relationship between the sides of similar figures?

Back

The sides of similar figures are proportional to each other.

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 4 cm and DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

True or False: All congruent figures are similar.

Back

True. All congruent figures are similar because they have the same shape and size.

Front

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

Back

False. Similar figures can have different areas as they may be different sizes.

Front

What is the measure of angle y if two congruent angles are 49.5 degrees?

Back

Angle y is also 49.5 degrees.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if their corresponding sides are in the same ratio.