
4B Review (Pythagorean Thm)-P7
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
The Pythagorean Theorem states that 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). Formula: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
3.
FLASHCARD QUESTION
Front
How can you determine if a triangle is a right triangle using side lengths?
Back
To determine if a triangle is a right triangle, check if the square of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.
4.
FLASHCARD QUESTION
Front
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
5.
FLASHCARD QUESTION
Front
What does the term 'converse' refer to in the context of the Pythagorean Theorem?
Back
The converse of the Pythagorean Theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
6.
FLASHCARD QUESTION
Front
If a triangle has sides measuring 5, 12, and 13, is it a right triangle?
Back
Yes, it is a right triangle because 5² + 12² = 13² (25 + 144 = 169).
7.
FLASHCARD QUESTION
Front
What is the distance formula derived from the Pythagorean Theorem?
Back
The distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).
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