Grade 10 Cartesian Graphs Worksheet
A Grade 10 math worksheet focusing on understanding and plotting points on Cartesian graphs, calculating distance, and finding midpoints.
Includes
Standards
Topics
Cartesian Graphs: Grade 10
Name:
Date:
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. In which quadrant would the point (-3, 5) be located?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
2. What is the formula to calculate the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane?
d = √((x2 - x1)² + (y2 - y1)²)
d = (x2 - x1) + (y2 - y1)
d = (x1 + x2)/2
d = √(x2² + y2²)
1. The horizontal axis on a Cartesian graph is called the .
2. The point where the x-axis and y-axis intersect is called the .
1. Plot the following points on the graph below: A(2, 3), B(-4, 1), C(0, -2), D(3, -5).
2. Calculate the distance between point A(2, 3) and point B(-4, 1). Show your work.
3. Find the midpoint of the line segment connecting point C(0, -2) and point D(3, -5). Show your work.
1. The y-coordinate of a point indicates its horizontal position.
True
False
2. A point on the x-axis always has a y-coordinate of 0.
True
False
1. A triangle has vertices at P(1, 2), Q(5, 2), and R(3, 6). Calculate the perimeter of the triangle.
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