Similar Figures and Scale Drawing

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 a scale drawing?

Back

A scale drawing is a representation of an object or a place that is proportional to the actual size, using a specific ratio to maintain the dimensions accurately.

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 in proportion.

Front

What is the scale factor?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much larger or smaller one figure is compared to the other.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The lengths of the sides of the similar triangle would be 6 cm, 8 cm, and 10 cm.

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 the scale factor between two similar rectangles is 3:1, what is the ratio of their areas?

Back

The ratio of their areas would be 3^2:1^2, which is 9:1.

Front

How can you use scale drawings in real life?

Back

Scale drawings can be used in architecture, engineering, and design to create accurate representations of objects or spaces that are too large or too small to be drawn at actual size.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio remains constant.

Front

If a model car is 1:20 scale, how long is the model if the actual car is 4 meters long?

Back

The model car would be 0.2 meters (or 20 cm) long.