Similar Figures & Scale Drawings

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 drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged from its actual size.

Front

How do you find the scale factor?

Back

The scale factor is found by dividing the length of a side of the drawing by the length of the corresponding side of the actual object.

Front

If a rectangle has a width of 9 in on a blueprint and a length of 14 in, what is the scale factor if the actual width is 45 ft?

Back

The scale factor is 1:5, since 9 in corresponds to 45 ft (1 ft = 12 in).

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated using the formula P = 2(length + width).

Front

If the scale factor is 3, how do you find the new perimeter of a rectangle?

Back

To find the new perimeter, multiply the original perimeter by the scale factor.

Front

What is the relationship between the scale factor and area?

Back

When a figure is enlarged by a scale factor of k, the area increases by a factor of k².

Front

How do you convert map distances to actual distances?

Back

To convert map distances to actual distances, multiply the map distance by the scale of the map.

Front

If a rectangle's length is 70 ft and width is 45 ft, what is its area?

Back

The area (A) is calculated as A = length × width = 70 ft × 45 ft = 3150 ft².

Front

What is the new area of a rectangle if the scale factor is 3 and the original area is 3150 ft²?

Back

The new area is 3150 ft² × 3² = 3150 ft² × 9 = 28350 ft².