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 lengths of corresponding sides are proportional.

Front

What is the property of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent (equal in measure).

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length in similar figures, set up a proportion using the lengths of corresponding sides from the two figures.

Front

If two triangles are similar, what can be said about their sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

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 one side of a triangle is 10 cm and the corresponding side of a similar triangle is 15 cm, what is the scale factor?

Back

The scale factor is 15/10 or 3/2.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the scale factor of two similar figures is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 2^2:3^2, which simplifies to 4:9.

Front

How can 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 significance of the AA criterion in similarity?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.