8- Scale Factors

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 figure is compared to another figure.

Front

If a triangle has a scale factor of 2, what does that mean?

Back

It means that every side of the triangle is twice as long as the corresponding side of the original triangle.

Front

How do you find the missing side of a scaled figure?

Back

To find the missing side, multiply the known side by the scale factor.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides are in the ratio 2:1?

Back

The scale factor is 2:1, meaning triangle DEF is half the size of triangle ABC.

Front

If the scale factor is 4 and one side of the original figure is 6 m, what is the corresponding side in the scaled figure?

Back

The corresponding side is 24 m (6 m x 4).

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are in proportion.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is the area of the rectangle?

Back

The area is 50 cm² (length x width = 10 cm x 5 cm).

Front

If the scale factor is 1/2, how does it affect the size of the figure?

Back

The figure will be reduced to half its original size.

Front

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

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If triangle ABC has sides of 3 cm, 4 cm, and 5 cm, what are the sides of triangle DEF if the scale factor is 2?

Back

The sides of triangle DEF will be 6 cm, 8 cm, and 10 cm (3 cm x 2, 4 cm x 2, 5 cm x 2).