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 a scale factor?

Back

A scale factor is a number that describes how much a figure is enlarged or reduced. It is the ratio of the lengths of corresponding sides of similar figures.

Front

If two rectangles are similar and one has a length of 10 cm and a width of 5 cm, what could be the dimensions of the other rectangle if the scale factor is 2?

Back

The dimensions of the other rectangle would be 20 cm (length) and 10 cm (width).

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the scale factor.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, and another triangle is similar to it with a scale factor of 3, what are the lengths of the sides of the second triangle?

Back

The lengths of the sides of the second triangle would be 9 cm, 12 cm, and 15 cm.

Front

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

Back

The area of a rectangle is found using the formula: Area = length × width.

Front

If the scale factor between two similar figures is 1/2, how does this affect their areas?

Back

If the scale factor is 1/2, the area of the smaller figure will be 1/4 of the area of the larger figure.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

How can you find the missing side of a similar figure?

Back

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