Similar Figures

Front

What are similar figures?

Back

Two figures that have the same shape but may have different sizes.

Front

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

Back

The ratios of the lengths of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor of two similar triangles is 2:3, and one side of the smaller triangle is 6 cm, what is the corresponding side in the larger triangle?

Back

9 cm (6 cm * 3/2 = 9 cm).

Front

How do you find the perimeter of similar figures?

Back

Use the scale factor to multiply the perimeter of the smaller figure to find the perimeter of the larger figure.

Front

If triangle ABC is similar to triangle DEF, and the perimeter of triangle ABC is 30 cm, what is the perimeter of triangle DEF if the scale factor is 4:5?

Back

37.5 cm (30 cm * 5/4 = 37.5 cm).

Front

What does it mean if two figures are congruent?

Back

They are the same shape and size.

Front

If two rectangles are similar and the length of one is 8 cm and the width is 4 cm, what are the dimensions of the other rectangle if the scale factor is 1:2?

Back

Length = 16 cm, Width = 8 cm.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If the area of a smaller similar figure is 25 cm², what is the area of the larger figure if the scale factor is 2:3?

Back

The area of the larger figure is 36 cm² (25 cm² * (3/2)² = 36 cm²).