Distance on the Coordinate Plane
Grade 12 Math worksheet focusing on calculating distances between points on a coordinate plane, including advanced applications.
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Distance on the Coordinate Plane
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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(-5, 8) and B(3, -7). Round your answer to two decimal places.
2. Find the perimeter of a triangle with vertices P(1, 2), Q(7, 2), and R(4, 6). Round your answer to one decimal place.
3. The midpoint of the segment connecting (x1, y1) and (x2, y2) is given by the formula .
4. If the distance between (x, 3) and (2, 7) is 5 units, then x can be or .
5. Which of the following points is equidistant from (0,0) and (4,0)?
(2, 2)
(2, 0)
(0, 2)
(4, 2)
6. A circle has its center at (2, -3) and passes through the point (5, 1). What is the radius of the circle?
7. Determine if the points (1, 1), (3, 5), and (7, 3) form a right-angled triangle. Justify your answer using the distance formula.
8. Plot the points C(-3, -2) and D(5, 4) on the coordinate plane below. Then, calculate the distance between C and D.
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