4.2: 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 is the formula for the Pythagorean theorem?
Back
a² + b² = c², where c is the hypotenuse.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
In a right triangle, which side is the hypotenuse?
Back
The hypotenuse is the longest side, opposite the right angle.
3.
FLASHCARD QUESTION
Front
How can you determine if three lengths can form a right triangle?
Back
Use the Pythagorean theorem: check if a² + b² = c² for the lengths.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
What are the side lengths of a right triangle if the lengths are 33, 56, and 65?
Back
These lengths form a right triangle because 33² + 56² = 65².
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the converse of the Pythagorean theorem?
Back
If a² + b² = c², then the triangle is a right triangle.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
Can a triangle with sides 8 in, 10 in, and 12 in be a right triangle?
Back
No, because 8² + 10² ≠ 12².
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
The sum of the squares of the two shorter sides equals the square of the longest side.
Tags
CCSS.8.G.B.8
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