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 in proportion.

Front

What is the property of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are congruent (equal in measure).

Front

What is the property of corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Front

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

Back

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

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 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 the angles of a triangle measure 30°, 60°, and 90°, what can be said about any triangle with the same angle measures?

Back

Any triangle with angles measuring 30°, 60°, and 90° is similar to each other, regardless of their side lengths.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Front

If two similar pentagons have a scale factor of 3:5, how do you find the ratio of their areas?

Back

The ratio of their areas is (3^2):(5^2) = 9:25.