Pythagorean Theorem & Converse
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What does the Pythagorean Theorem state?
Back
In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is the converse of the Pythagorean Theorem?
Back
If a² + b² = c² is true for a triangle, then the triangle is a right triangle.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
What type of triangle is formed if a² + b² < c²?
Back
An obtuse triangle.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
What type of triangle is formed if a² + b² > c²?
Back
An acute triangle.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the length of the diagonal of a rectangle with sides 5 yards and 12 yards?
Back
13 yards.
Tags
CCSS.8.G.B.7
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?
Back
It is a right triangle.
Tags
CCSS.4.G.A.2
7.
FLASHCARD QUESTION
Front
How do you determine if a triangle is a right triangle using the Pythagorean Theorem?
Back
Check if a² + b² = c² holds true for the side lengths.
Tags
CCSS.8.G.B.8
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