
Distance Formula and Pythagorean Theorem Review
Flashcard
•
Mathematics
•
7th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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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). It is expressed as c² = a² + b².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?
Back
The distance formula is given by: d = √((x2 - x1)² + (y2 - y1)²).
Tags
CCSS.HSG.GPE.B.7
3.
FLASHCARD QUESTION
Front
What does 'c' represent in the Pythagorean Theorem?
Back
In the Pythagorean Theorem, 'c' represents the length of the hypotenuse of a right triangle.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
What are the coordinates of point A if the distance between points A(2, 3) and B(5, 7) is 5?
Back
Point A is (2, 3) and point B is (5, 7). The distance can be calculated using the distance formula.
Tags
CCSS.HSG.GPE.B.7
5.
FLASHCARD QUESTION
Front
If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10.
Tags
CCSS.8.G.B.7
6.
FLASHCARD QUESTION
Front
What is the distance between the points (1, 2) and (4, 6)?
Back
Using the distance formula: d = √((4 - 1)² + (6 - 2)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.
Tags
CCSS.HSG.GPE.B.7
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, as stated by the Pythagorean Theorem.
Tags
CCSS.8.G.B.8
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