CFU 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 their corresponding sides are proportional.

Front

What is the ratio of the perimeters of two similar figures?

Back

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

Front

If the ratio of the sides of two similar triangles is 4:11, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their sides, which is (4/11)² = 16/121.

Front

What must be true about the angles of similar triangles?

Back

In similar triangles, corresponding angles are congruent.

Front

How do you find the area of a similar figure if you know the area of the original figure?

Back

To find the area of a similar figure, multiply the area of the original figure by the square of the ratio of their corresponding side lengths.

Front

If the perimeter of a smaller similar figure is 15 and the ratio of the perimeters is 3:5, what is the perimeter of the larger figure?

Back

The perimeter of the larger figure is 15 * (5/3) = 25.

Front

What is the relationship between the corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

If two figures are similar and the length of one side of the first figure is 6, and the corresponding side of the second figure is 9, what is the ratio of their sides?

Back

The ratio of their sides is 6:9, which simplifies to 2:3.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

If the area of a smaller triangle is 20 and the ratio of the areas of two similar triangles is 1:4, what is the area of the larger triangle?

Back

The area of the larger triangle is 20 * 4 = 80.