7.1.b: Scale and Scale Factor

Front

What is the scale factor in geometry?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced in size.

Front

If a rectangle has a length of 10 cm and a scale factor of 1:2, what is the length of the similar rectangle?

Back

20 cm

Front

How do you calculate the new dimensions of a shape when given a scale factor?

Back

Multiply the original dimensions by the scale factor.

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size.

Front

If a triangle has a base of 10 cm and a height of 6 cm, what are the new dimensions after scaling by a factor of 2?

Back

Base: 20 cm, Height: 12 cm.

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

If a rectangle has a width of 4 cm and is scaled by a factor of 0.5, what is the new width?

Back

2 cm.

Front

What happens to the area of a shape when it is scaled by a factor of k?

Back

The area is multiplied by k².

Front

How is the scale factor expressed when comparing two similar figures?

Back

As a ratio, such as 1:2 or 3:4.

Front

What is the relationship between the scale factor and the dimensions of similar figures?

Back

The dimensions of similar figures are proportional to the scale factor.