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 their corresponding sides are proportional.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

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

Back

All corresponding angles in similar triangles are equal.

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 scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

If two similar figures have a scale factor of 3:1, and the length of a side in the smaller figure is 5 cm, what is the length of the corresponding side in the larger figure?

Back

The length of the corresponding side in the larger figure is 15 cm.

Front

What does it mean for two sides to be proportional?

Back

Two sides are proportional if the ratio of their lengths is constant.

Front

If angle A = 30° in triangle ABC and triangle DEF is similar to triangle ABC, what is the measure of angle D?

Back

Angle D is also 30°.