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 sides to be proportional in similar figures?

Back

In similar figures, the lengths of corresponding sides are in the same ratio, known as the scale factor.

Front

If two triangles are similar and the length of one side of the smaller triangle is 4 cm, and the scale factor is 2, what is the length of the corresponding side in the larger triangle?

Back

8 cm.

Front

What is the scale factor from a small rectangle with dimensions 2 cm by 3 cm to a larger rectangle with dimensions 4 cm by 6 cm?

Back

The scale factor is 2.

Front

True or False: The angles of similar figures are always equal.

Back

True.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is the perimeter?

Back

The perimeter is 12 cm.

Front

What is the relationship between the areas of two similar figures if the scale factor is 3?

Back

The area of the larger figure is 3^2 = 9 times the area of the smaller figure.

Front

If the height of a statue is 25 ft and the height of a similar statue is 50 ft, what is the scale factor?

Back

The scale factor is 2.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If two similar triangles have a scale factor of 1/2, how does this affect their areas?

Back

The area of the smaller triangle is (1/2)^2 = 1/4 the area of the larger triangle.