Composite Figures

Question 1

What is a composite figure?

Answer 1

A composite figure is a shape that is made up of two or more simple geometric shapes.

Question 2

True or False: A composite figure can only consist of rectangles.

Answer 2

False

Question 3

Fill in the blank: To find the area of a composite figure, you must first ____ the areas of the simple shapes that compose it.

Answer 3

calculate

Question 4

List two examples of simple shapes that can be used to create a composite figure.

Answer 4

Circle and rectangle

Question 5

Multiple Choice: Which of the following is NOT a simple geometric shape? a) Triangle b) Square c) Composite figure

Answer 5

c) Composite figure

Question 6

How do you find the perimeter of a composite figure?

Answer 6

By adding the lengths of all the outer sides of the simple shapes that make up the composite figure.

Question 7

True or False: The area of a composite figure can be less than the area of its individual components.

Answer 7

False

Question 8

What is the first step in calculating the area of a composite figure?

Answer 8

Identify the simple shapes that make up the composite figure.

Question 9

Fill in the blank: The area of a rectangle is calculated using the formula _____.

Answer 9

length × width

Question 10

What is the formula for the area of a triangle?

Answer 10

Area = 1/2 × base × height

Question 11

Multiple Choice: Which formula would you use to find the area of a circle in a composite figure? a) πr² b) 2πr c) r²

Answer 11

a) πr²

Question 12

True or False: Composite figures can be made up of irregular shapes.

Answer 12

True

Question 13

What is the significance of breaking down a composite figure into simple shapes?

Answer 13

It simplifies the process of calculating area and perimeter.

Question 14

Fill in the blank: The perimeter of a composite figure is the total ____ of its outer edges.

Answer 14

length

Question 15

What is a common mistake when calculating the area of a composite figure?

Answer 15

Forgetting to subtract overlapping areas.

Question 16

Multiple Choice: When calculating a composite figure’s area, what should you do with the areas of the simple shapes? a) Add them b) Subtract them c) Multiply them

Answer 16

a) Add them

Question 17

True or False: The dimensions of each simple shape in a composite figure must be known to calculate its area.

Answer 17

True

Question 18

What is the area of a composite figure that consists of a rectangle with length 5 and width 3, and a triangle with base 3 and height 4?

Answer 18

Area = (5 × 3) + (1/2 × 3 × 4) = 15 + 6 = 21

Question 19

Fill in the blank: When calculating the perimeter of a composite figure, you should focus on the ____ sides.

Answer 19

outer

Question 20

Name one application of composite figures in real life.

Answer 20

Architecture or landscape design.

Question 21

Multiple Choice: Which of the following shapes can be part of a composite figure? a) Rectangle b) Circle c) Both a and b

Answer 21

c) Both a and b

Question 22

True or False: All composite figures have a fixed formula for area.

Answer 22

False

Question 23

How can composite figures help in solving complex geometric problems?

Answer 23

By allowing the use of simpler shapes and known formulas.

Question 24

Fill in the blank: The total area of a composite figure is the sum of the areas of all ____ shapes.

Answer 24

simple

Question 25

What is a key consideration when drawing a composite figure?

Answer 25

Ensuring that the shapes connect properly without gaps or overlaps.