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 means that the ratios of the lengths of corresponding sides of similar figures are equal.

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

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 and solve for the unknown.

Front

If two triangles are similar, what can you say about their area ratios?

Back

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

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, indicating how much one figure is enlarged or reduced compared to the other.

Front

How do you determine if two polygons are similar?

Back

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

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

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.

Front

How can you use proportions to solve for a missing side in similar figures?

Back

Set up a proportion using the known side lengths of the similar figures, cross-multiply, and solve for the missing side.