(3) Proportions and Similar Figures

Front

What is the definition of 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 in proportion.

Front

What is the similarity statement for two triangles?

Back

The similarity statement for two triangles indicates that the triangles are similar, often written as ΔABC ~ ΔDEF, meaning triangle ABC is similar to triangle DEF.

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles in similar triangles are equal.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What does it mean if two sides of similar triangles are in proportion?

Back

If two sides of similar triangles are in proportion, it means that the ratio of the lengths of one pair of corresponding sides is equal to the ratio of the lengths of another pair of corresponding sides.

Front

What is the significance of corresponding sides in similar figures?

Back

Corresponding sides in similar figures are the sides that are in the same relative position in each figure, and their lengths are proportional.

Front

If ΔABC ~ ΔDEF, what can be said about the lengths of sides AB and DE?

Back

The lengths of sides AB and DE are proportional, meaning AB/DE = k, where k is a constant ratio.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

What is the importance of the scale factor in similar figures?

Back

The scale factor helps to determine how much larger or smaller one figure is compared to another and is used to find missing side lengths.

Front

Can two figures be similar if their angles are not equal?

Back

No, two figures cannot be similar if their corresponding angles are not equal.