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Understanding Right Trapezoids and the Pythagorean Theorem

Understanding Right Trapezoids and the Pythagorean Theorem

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.G.B.8, 1.G.A.2

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.8.G.B.8
,
CCSS.1.G.A.2
The video tutorial explains how to determine the length of X in a right trapezoid by decomposing it into a rectangle and a right triangle. It uses the Pythagorean theorem to calculate the hypotenuse, X, by applying the formula C = A^2 + B^2. The solution involves solving for X and simplifying the result to find both the exact and approximate values.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a defining characteristic of a right trapezoid?

It has no right angles.

It has all sides of equal length.

It has one pair of parallel sides and two right angles.

It has two pairs of parallel sides.

Tags

CCSS.1.G.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a right trapezoid be divided?

Into two squares

Into two triangles

Into a rectangle and a right triangle

Into a circle and a triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the shorter leg in the right triangle formed from the trapezoid?

6 units

8 units

2 units

10 units

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents the Pythagorean theorem?

C = A^2 + B^2

C = A^2 * B^2

C = A + B

C = A^2 - B^2

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of X when calculated using the Pythagorean theorem?

8.32

5.32

7.32

6.32

Tags

CCSS.8.G.B.8

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