Grade 12 Cartesian Coordinates Worksheet
A Grade 12 math worksheet focusing on advanced Cartesian coordinate concepts, including distance, midpoint, and geometric properties.
Includes
Standards
Topics
Cartesian Coordinates: Grade 12 Advanced
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Read each question carefully and provide clear, detailed answers. Show all your work for full credit.
1. Given two points A(3, -5) and B(-1, 7) in the Cartesian plane, calculate the distance between them and the coordinates of their midpoint.
2. A triangle has vertices P(1, 2), Q(4, 2), and R(1, 6). What type of triangle is PQR?
Equilateral
Isosceles
Scalene
Right-angled
3. The equation of a circle with center (h, k) and radius r is given by . If a circle has its center at (2, -3) and passes through the point (5, 1), its radius is and its equation is .
4. Find the equation of the line that passes through the point (4, -2) and is perpendicular to the line given by 2x - 3y = 6. Express your answer in the form y = mx + c.
5. Plot the points A(-3, 2), B(5, 2), C(5, -4), and D(-3, -4) on the coordinate plane below. What shape do these points form? Calculate its area.
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