Scale and Scale Factor

Front

What is a scale in the context of maps?

Back

A scale is a ratio that compares a distance on a map to the actual distance on the ground.

Front

If a map has a scale of 1 cm = 5 km, how do you calculate the actual distance between two points on the map?

Back

Multiply the distance on the map (in cm) by the scale factor (5 km).

Front

What is a scale factor?

Back

A scale factor is a number that describes how much larger or smaller a scale drawing is compared to the actual object.

Front

If a scale drawing is 8 units wide and the original is 4 units wide, what is the scale factor?

Back

The scale factor is 2:1.

Front

How do you find the perimeter of a shape?

Back

Add the lengths of all the sides together.

Front

If a triangle has sides measuring 10, 12, and 14 units, what is its perimeter?

Back

The perimeter is 36 units.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you use proportions to find the height of an object using shadows?

Back

Set up a proportion comparing the height of the object to the length of its shadow.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, and a building casts a shadow of 24 feet, how do you find the height of the building?

Back

Use the proportion: 12/9 = height/24.

Front

What is the formula for finding the height of a tree using a mirror?

Back

The height of the tree is equal to the distance from the mirror to the tree multiplied by the height of the observer divided by the distance from the observer to the mirror.