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How well do you understand the skills and concepts in this lesson?

Now it is time to make sure you are ready for your quiz. Work through the problems below. If you get any of them wrong, revisit those concepts in the lesson prior to taking the lesson quiz.

What is true of unknown figures?

  1. There are established equations that calculate the area of unknown figures.
  2. There are established equations that calculate the length of unknown figures.
  3. Unknown figures don't have established geometric definitions.
  4. Unknown figures don't have areas that can be calculated.

An unknown figure does not fit any standard geometric definition of a shape. However, it can usually be broken down into smaller, "known" figures.

An unknown figure does not fit any standard geometric definition of a shape. However, it can usually be broken down into smaller, "known" figures.

An unknown figure does not fit any standard geometric definition of a shape. However, it can usually be broken down into smaller, "known" figures.

An unknown figure does not fit any standard geometric definition of a shape. However, it can usually be broken down into smaller, "known" figures.

What is the first step for calculating the area of an unknown figure?

  1. Determine what known figures are contained in the unknown figure.
  2. Transform the unknown figure into a single known figure.
  3. Estimate the perimeter of the unknown figure.
  4. Calculate the area based on the area of the most similar known figure.

We know how to calculate the area known figures. Therefore, we can use that knowledge to help us calculate the areas of unknown figures.

We know how to calculate the area known figures. Therefore, we can use that knowledge to help us calculate the areas of unknown figures.

We know how to calculate the area known figures. Therefore, we can use that knowledge to help us calculate the areas of unknown figures.

We know how to calculate the area known figures. Therefore, we can use that knowledge to help us calculate the areas of unknown figures.

What is density?

  1. Density is the measure of the amount of liquid an object can hold.
  2. Density is the sum of all the angles in a shape.
  3. Density is the measure of the compactness of an object.
  4. Density is a measure of temperature.

Density measures how close together particular objects are in a particular space. Density is often used in physics but can apply to everyday situations as well (cars per square mile of road, ice cubes per cubic meter of water, etc.)

Density measures how close together particular objects are in a particular space. Density is often used in physics but can apply to everyday situations as well (cars per square mile of road, ice cubes per cubic meter of water, etc.)

Density measures how close together particular objects are in a particular space. Density is often used in physics but can apply to everyday situations as well (cars per square mile of road, ice cubes per cubic meter of water, etc.)

Density measures how close together particular objects are in a particular space. Density is often used in physics but can apply to everyday situations as well (cars per square mile of road, ice cubes per cubic meter of water, etc.)

Why is it useful to know the density of an object in an unknown figure?

  1. Density also tells us the figure's perimeter.
  2. Density identifies the figure's angle measurements.
  3. Density tells us the known figures that make up the unknown figure.
  4. Density may allow us to calculate the unknown figure's area.

Given the correct context, knowing the density of an object in an unknown figure may allow us to calculate that figure's area. This is very useful if the object cannot be easily broken down into known figures.

Given the correct context, knowing the density of an object in an unknown figure may allow us to calculate that figure's area. This is very useful if the object cannot be easily broken down into known figures.

Given the correct context, knowing the density of an object in an unknown figure may allow us to calculate that figure's area. This is very useful if the object cannot be easily broken down into known figures.

Given the correct context, knowing the density of an object in an unknown figure may allow us to calculate that figure's area. This is very useful if the object cannot be easily broken down into known figures.

Summary

Questions answered correctly:

Questions answered incorrectly: