Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit a specific size, maintaining the same shape and proportions.

Front

What is a scale factor?

Back

A scale factor is a number that describes how much a shape is enlarged or reduced in a scale drawing. It is the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a triangle's scale factor is 2, what does that mean?

Back

It means that every length in the triangle is twice as long as the corresponding length in the original triangle.

Front

How do you calculate the actual distance using a map scale?

Back

To calculate the actual distance, multiply the distance on the map by the scale factor. For example, if the scale is 1 inch = 5 miles and two cities are 3 inches apart, the actual distance is 3 inches x 5 miles/inch = 15 miles.

Front

What is the formula to find the perimeter of a triangle?

Back

The perimeter of a triangle is found by adding the lengths of all three sides: P = a + b + c.

Front

If a scale drawing has a scale of 1cm = 8km, how far apart are two points that are 12cm apart on the drawing?

Back

To find the actual distance, multiply the distance on the drawing by the scale: 12cm x 8km/cm = 96km.

Front

What does it mean if a scale factor is less than 1?

Back

A scale factor less than 1 indicates a reduction in size. For example, a scale factor of 1/2 means the drawing is half the size of the actual object.

Front

How do you find the scale factor between two similar shapes?

Back

To find the scale factor, divide the length of a side of the larger shape by the length of the corresponding side of the smaller shape.

Front

What is the relationship between scale drawings and similar figures?

Back

Scale drawings represent similar figures, meaning they have the same shape but different sizes, with corresponding angles being equal and sides in proportion.

Front

If a rectangle has a length of 10m and a width of 5m, what is the perimeter?

Back

The perimeter is P = 2(length + width) = 2(10m + 5m) = 30m.