Distance Between Two Points - Grade 12 Math
A Grade 12 math worksheet focusing on calculating the distance between two points on a coordinate plane and applying the distance formula to geometric problems.
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Distance Between Two Points
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Calculate the distance between the points A(3, 7) and B(-2, 1).
2. Find the distance between P(-5, -4) and Q(0, 8).
3. The distance formula is derived from the theorem.
4. If two points have the same x-coordinate, the distance between them is the absolute difference of their .
5. Which of the following points is farthest from the origin (0,0)?
(1, 5)
(-4, 3)
(6, -2)
(-3, -5)
6. A triangle has vertices at A(1, 2), B(4, 2), and C(1, 6). Determine if this is a right-angled triangle using the distance formula.
7. A circle has its center at (2, -3) and passes through the point (5, 1). Find the radius of the circle.
8. The distance between two points is always a non-negative value.
True
False
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