Scale Factors

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the proportional relationship between two similar figures.

Front

If the scale is 1cm = 8km, how do you find the actual distance from a map distance?

Back

Multiply the map distance in cm by the scale factor (8km) to find the actual distance.

Front

What is the actual distance between two cities that are 24cm apart on a map with a scale of 1cm = 8km?

Back

192 km (24cm x 8km/cm = 192km).

Front

How do you determine the measurement of a missing side in similar rectangles?

Back

Use the scale factor to set up a proportion between the corresponding sides of the rectangles.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of ABC are half the length of DEF?

Back

The scale factor is 1/2.

Front

What does it mean for a figure to be a scale copy of another figure?

Back

A scale copy is a figure that is proportional in size to the original figure, maintaining the same shape but differing in size.

Front

If a rectangle has a length of 20cm and a scale factor of 2, what is the actual length?

Back

40cm (20cm x 2 = 40cm).

Front

What is the formula to solve for k in a proportion?

Back

Cross-multiply the terms in the proportion and solve for k.

Front

If triangle ABC has sides of 3cm, 4cm, and 5cm, and triangle DEF has sides of 6cm, 8cm, and 10cm, what is the scale factor?

Back

The scale factor is 2 (6/3 = 2, 8/4 = 2, 10/5 = 2).

Front

How do you identify a scale drawing?

Back

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