Pythagorean Theorem and Their Converse
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Mathematics
8th - 9th Grade
CCSS covered
Used 114+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If the sides of a triangle are 7, 24, and 25, is it a right triangle?
Yes, it is a right triangle because 7² + 24² = 25².
No, it is not a right triangle because the sides do not satisfy the Pythagorean theorem.
Yes, it is a right triangle because 7² + 25² = 24².
No, it is not a right triangle because the longest side is not the hypotenuse.
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?
Yes, because 5² + 12² = 13².
No, because the sides do not satisfy the Pythagorean theorem.
Yes, but only if the triangle is isosceles.
No, because the longest side is not the hypotenuse.
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
a = 2.1, b = 7.2, c = 7.5. Is this a right triangle?
Yes, it is a right triangle because 2.1² + 7.2² = 7.5².
No, it is not a right triangle because 2.1 + 7.2 ≠ 7.5.
Yes, it is a right triangle because 2.1 + 7.2 = 7.5.
No, it is not a right triangle because 2.1² + 7.5² = 7.2².
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If a triangle has sides 9, 12, and 15, is it a right triangle?
Yes, because 9² + 12² = 15².
No, because 9² + 12² ≠ 15².
Yes, because it follows the Pythagorean theorem.
No, because the longest side is not the hypotenuse.
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the hypotenuse in a right triangle?
The side opposite the right angle, and the longest side.
The side adjacent to the right angle.
The shortest side of the triangle.
The side opposite the smallest angle.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does the Pythagorean theorem state?
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The sum of the angles in a triangle is always 180 degrees.
In any triangle, the longest side is always opposite the largest angle.
The area of a circle is equal to π times the radius squared.
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What are the legs of a right triangle?
The two sides that form the right angle.
The longest side of the triangle.
The two sides opposite the right angle.
The two sides that are equal in length.
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