Scale Drawings and Proportions

The video tutorial explains scale drawings and models, highlighting their two-dimensional and three-dimensional nature, respectively. It discusses the concept of similar figures, emphasizing congruent angles and proportional sides. The tutorial provides examples of scales, such as 1 inch to 20 feet, and explains how to use these scales to solve problems. A detailed example of calculating the actual size of a billboard using a given scale is provided, demonstrating the process of setting up proportions and solving for unknown dimensions.

What is the main difference between a scale drawing and a scale model?

• A scale drawing is three-dimensional, while a scale model is two-dimensional.

• Both are three-dimensional representations.

• A scale drawing is two-dimensional, while a scale model is three-dimensional.

• Both are two-dimensional representations.

What does it mean for two figures to be similar?

• They have the same shape but different sizes.

• They have the same size but different shapes.

• They have different shapes and sizes.

• They have the same shape and size.

Which of the following is true for similar figures?

• Corresponding sides are equal.

• Corresponding sides do not form a proportion.

• Corresponding angles are different.

• Corresponding angles are congruent.

What is a scale in the context of scale drawings?

• A method to calculate area.

• A type of drawing tool.

• A ratio of dimensions in a drawing or model.

• A tool to measure weight.

Which of the following is an example of a scale?

• 1 inch to 20 feet

• 1 inch equals 1 foot

• 1 meter equals 1 meter

• 1 cm equals 1 cm

In a scale drawing, what should you do with the scale?

• Ignore it.

• Use it to set up a proportion.

• Use it to measure weight.

• Use it to calculate volume.

What is the first step in solving a scale drawing problem?

• Calculate the area.

• Measure the actual object.

• Rewrite the scale as a fraction.

• Draw the object to scale.

In the example of the billboard, what is the scale used?

• 9 feet to 4 cm

• 9 cm to 4 feet

• 4 cm to 9 feet

• 4 cm to 9 cm

How do you find the actual length of an object in a scale drawing?

• By measuring the drawing directly.

• By using the scale to set up a proportion and solve for the missing dimension.

• By guessing based on the drawing.

• By using a calculator to multiply the drawing's length by 10.

What is the actual length of the billboard if the drawing length is 11 cm?

• 24.75 feet

• 11 feet

• 4 feet

• 99 feet