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Finding Areas of Polygons and Trapezoids

Finding Areas of Polygons and Trapezoids

Assessment

Interactive Video

Mathematics, Science, Other

6th - 8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Mrs. Nelson introduces the lesson on polygons, focusing on calculating the area by decomposing and rearranging shapes. The lesson covers parallelograms and triangles, explaining how to find their areas. The main focus is on applying these strategies to trapezoids, using methods like enclosing, subtracting, and rearranging to form rectangles. The lesson concludes with a summary of the strategies used to find the area of various polygons.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the lesson on polygons?

To draw different types of polygons

To memorize the formulas for all polygons

To reason about the area of any polygon by decomposing and rearranging it

To learn the history of polygons

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the area of a parallelogram be found?

By decomposing and rearranging it into a rectangle

By measuring its perimeter

By dividing it into circles

By counting the number of sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the area of a triangle and a parallelogram with the same base and height?

The area of the triangle is half the area of the parallelogram

The area of the triangle is one-third the area of the parallelogram

The area of the triangle is the same as the parallelogram

The area of the triangle is double the area of the parallelogram

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a strategy to find the area of a trapezoid?

Rearranging into a circle

Enclosing and subtracting

Rearranging into a rectangle

Decomposing into triangles and a rectangle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method to find the area of a trapezoid?

By drawing a diagonal

By counting the number of vertices

By measuring its perimeter

By enclosing it in a rectangle and subtracting the extra parts

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a trapezoid be rearranged to find its area?

By rotating it into a circle

By stretching it into a parallelogram

By decomposing it into two triangles and a rectangle

By folding it into a cube

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the rectangle formed by rearranging the trapezoid in the example?

18 square units

15 square units

12 square units

21 square units

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