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 does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

How do you find the missing side of similar triangles?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

If triangle A is similar to triangle B, and the sides of triangle A are 3 cm, 4 cm, and 5 cm, what are the sides of triangle B if the longest side is 10 cm?

Back

The sides of triangle B would be 6 cm, 8 cm, and 10 cm, maintaining the same ratio.

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.

Front

If two similar polygons have a scale factor of 2:3, what does this mean?

Back

This means that for every 2 units in the first polygon, there are 3 units in the second polygon.

Front

How do you calculate the perimeter of similar figures?

Back

To calculate the perimeter of similar figures, multiply the perimeter of one figure by the scale factor.

Front

If the perimeter of a smaller triangle is 12 cm and it is similar to a larger triangle, what is the perimeter of the larger triangle if the scale factor is 2:3?

Back

The perimeter of the larger triangle would be 18 cm.

Front

What is the relationship between the areas of similar figures?

Back

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

Front

If the area of a smaller triangle is 20 cm² and it is similar to a larger triangle, what is the area of the larger triangle if the scale factor is 2:3?

Back

The area of the larger triangle would be 45 cm².