Scale Factor & Scale Drawings

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a scale drawing is compared to the actual object.

Front

How do you find the scale of a drawing?

Back

To find the scale of a drawing, divide the length of the drawing by the actual length of the object. The result will give you the scale in the form of '1 inch = _ units'.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

If the original lengths of a shape are multiplied by 2, what happens to the area?

Back

If the original lengths are multiplied by 2, the area of the shape is multiplied by 2^2, or 4. This means the area becomes four times larger.

Front

What is the relationship between the scale factor and the dimensions of a shape?

Back

The scale factor determines how the dimensions of a shape are changed. A scale factor greater than 1 enlarges the shape, while a scale factor less than 1 reduces it.

Front

How can you determine if two rectangles are similar?

Back

To determine if two rectangles are similar, compare the ratios of their corresponding sides. If the ratios are the same, the rectangles are similar.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object that is proportional to the actual size of the object, using a specific scale factor.

Front

If a triangle has a scale factor of 1/2, how does its size compare to the original triangle?

Back

If a triangle has a scale factor of 1/2, it is half the size of the original triangle.

Front

What is the formula to calculate the scale factor?

Back

The scale factor can be calculated using the formula: Scale Factor = Length of Drawing / Actual Length.

Front

If a drawing of a soccer field is 14 inches long and the actual field is 98 yards long, what is the scale?

Back

The scale is 1 inch = 7 yards.