Proportionality and Scale Drawings

Front

What is proportionality?

Back

Proportionality is a relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases in a way that maintains the same ratio.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific scale to indicate the relationship between the drawing and the actual size.

Front

If a scale is 1 inch = 4 feet, how do you find the actual height of an object that measures 3 inches in the drawing?

Back

Multiply the measurement in inches by the scale factor: 3 inches x 4 feet/inch = 12 feet.

Front

How do you convert a scale of 1 cm = 5 km to find the actual distance if two points are 4 cm apart on the map?

Back

Multiply the distance on the map by the scale: 4 cm x 5 km/cm = 20 km.

Front

What is the formula to find the actual distance using a scale?

Back

Actual Distance = Distance on Map x Scale Factor.

Front

If a rectangle in a scale drawing has a length of 2 inches and the scale is 1 inch = 10 feet, what is the actual length?

Back

Actual Length = 2 inches x 10 feet/inch = 20 feet.

Front

What does it mean if two shapes are similar?

Back

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

Front

How do you find the missing side of a similar shape?

Back

Use the ratio of the corresponding sides to set up a proportion and solve for the missing side.

Front

What is the scale of a map if 1 inch represents 50 miles?

Back

The scale is 1 inch = 50 miles.

Front

If a map shows two cities 2.5 inches apart and the scale is 1 inch = 100 miles, what is the actual distance?

Back

Actual Distance = 2.5 inches x 100 miles/inch = 250 miles.