Grade 12 Cartesian Coordinates Worksheet

A Grade 12 math worksheet focusing on advanced Cartesian coordinate concepts, including distance, midpoint, and geometric properties.

Grade 12 Math GeometryCartesian Coordinates

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2 Short AnswerMultiple ChoiceFill in the BlanksCustom

Standards

CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSG.GPE.B.4CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgrade 12cartesian coordinatesgeometrydistance formulamidpoint formula

7 sections · Free to use · Printable

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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.