Distance formula
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the distance formula?
Back
The distance formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).
Tags
CCSS.HSG.GPE.B.7
2.
FLASHCARD QUESTION
Front
How do you find the distance between the points (-4, 5) and (7, 18)?
Back
Using the distance formula: d = √((7 - (-4))² + (18 - 5)²) = √((11)² + (13)²) = √(121 + 169) = √290 ≈ 17.03.
Tags
CCSS.HSG.GPE.B.7
3.
FLASHCARD QUESTION
Front
What is the distance between the points (2, 3) and (5, 7)?
Back
Using the distance formula: d = √((5 - 2)² + (7 - 3)²) = √((3)² + (4)²) = √(9 + 16) = √25 = 5.
Tags
CCSS.HSG.GPE.B.7
4.
FLASHCARD QUESTION
Front
What does the term 'hypotenuse' refer to in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
5.
FLASHCARD QUESTION
Front
If the coordinates of point A are (1, 2) and point B are (4, 6), what is the distance between them?
Back
Using the distance formula: d = √((4 - 1)² + (6 - 2)²) = √((3)² + (4)²) = √(9 + 16) = √25 = 5.
Tags
CCSS.HSG.GPE.B.7
6.
FLASHCARD QUESTION
Front
What is the significance of the distance formula in geometry?
Back
The distance formula helps in calculating the length of line segments, determining if points are equidistant, and solving problems involving triangles and other geometric shapes.
Tags
CCSS.HSG.GPE.B.7
7.
FLASHCARD QUESTION
Front
How do you calculate the length of a side in a right triangle using the distance formula?
Back
Identify the coordinates of the endpoints of the side, then apply the distance formula to find the length.
Tags
CCSS.6.G.A.3
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