Exploring the Converse of the Pythagorean Theorem
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Pythagorean theorem state about a right triangle?
The square of the hypotenuse equals the sum of the squares of the other two sides.
The sum of the angles equals 180 degrees.
The area of the triangle can be found using base times height.
The length of the hypotenuse is twice the length of the shortest side.
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of squaring the sides in the Pythagorean theorem?
To find the area of the triangle.
To eliminate negative values.
To comply with the theorem's formula.
To calculate the perimeter of the triangle.
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the Pythagorean theorem be used to verify if a triangle is a right triangle?
By checking if the sum of the angles equals 180 degrees.
By confirming if the square of the longest side equals the sum of the squares of the other two sides.
By comparing it to a known right triangle.
By measuring each side with a ruler.
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in using the converse of the Pythagorean theorem to verify a right triangle?
Square the lengths of all sides.
Identify the longest side as the hypotenuse.
Add the lengths of the two shorter sides.
Draw the triangle on a graph.
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to identify the longest side when using the Pythagorean theorem?
It determines the height of the triangle.
It is considered the hypotenuse in a right triangle.
It helps in calculating the area of the triangle.
It is always the base of the triangle.
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the length of a side in a right triangle if you know the lengths of the other two sides?
Multiply the lengths of the known sides.
Add the lengths of the known sides.
Subtract the length of one known side from the other.
Use the Pythagorean theorem to solve for the unknown side.
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the distance formula derived from the Pythagorean theorem?
By multiplying the x-coordinate difference with the y-coordinate difference.
By finding the average of the x and y coordinates.
By adding the x and y coordinates directly.
By squaring the difference in x-coordinates and adding it to the square of the difference in y-coordinates.
Tags
CCSS.HSG.GPE.B.7
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