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 corresponding sides to be proportional?

Back

Corresponding sides are proportional when the ratio of the lengths of two sides in one figure is equal to the ratio of the lengths of the corresponding sides in another figure.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are congruent, meaning they have the same measure.

Front

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

Back

If two triangles are similar, the lengths of their corresponding sides are in proportion.

Front

How do you find the missing side in similar figures?

Back

To find the missing side in similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

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

Back

The ratio of their sides is 1:2.

Front

If two polygons are similar, what can we say about their perimeters?

Back

The perimeters of similar polygons are also proportional to the lengths of their corresponding sides.

Front

What is the scale factor in similar figures?

Back

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

Front

If the scale factor of two similar figures is 3:5, what does this mean?

Back

This means that for every 3 units in one figure, there are 5 units in the corresponding side of the other figure.

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.