Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size. All corresponding sides and angles are equal.

Front

If two shapes are similar, are they also congruent?

Back

False. Similar shapes have the same shape but can be different sizes, while congruent shapes are identical in size and shape.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, the ratios of corresponding sides are equal.

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 their corresponding sides are equal.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What is a proportion in the context of similar figures?

Back

A proportion is an equation that states that two ratios are equal, often used to find missing lengths in similar figures.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 4:6, which simplifies to 2:3.

Front

Find the missing side x if triangle ABC is similar to triangle DEF and the sides are in the ratio 3:5. If side AB = 9 cm, what is side DE?

Back

Side DE = (5/3) * 9 cm = 15 cm.