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Coordinate Plane Word Problems - Grade 12

This worksheet focuses on solving word problems using coordinate geometry, including distance, midpoint, and geometric properties of figures on a coordinate plane, suitable for Grade 12 math students.

Grade 12 Math Math Word ProblemsCoordinate Plane Word Problems
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Includes

2 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.APR.D.7CCSS.MATH.CONTENT.HSG.GPE.B.4CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

Coordinate GeometryWord ProblemsGrade 12 MathDistance FormulaMidpoint Formula
6 sections · Free to use · Printable
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Coordinate Plane Word Problems

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Read each problem carefully and solve it using your knowledge of coordinate geometry. Show all your work.

1. A drone takes off from a point A(-3, 2) and flies to a point B(5, -4).

a) What is the total distance the drone traveled?

b) If the drone stops exactly halfway between A and B to recharge, what are the coordinates of its recharging point?

2. The vertices of a quadrilateral are P(1, 1), Q(4, 5), R(7, 1), and S(4, -3). What type of quadrilateral is PQRS?

-10-8-6-4-2246810-10-8-6-4-2246810
a

Square

b

Rectangle

c

Rhombus

d

Parallelogram

3. A cellular tower is located at (0, 0) on a coordinate plane. A user is located at (6, 8). The maximum range of the tower is 10 units. The user is currently   the range of the tower.

4. A delivery truck starts at a warehouse at (2, 3), drives to a customer at (10, 3), and then to another customer at (10, -5). The total distance covered by the truck is   units.

5. A triangular park has vertices at A(1, 2), B(5, 6), and C(9, 2). Calculate the area of the park.

6. A circle has its center at (3, -2) and passes through the point (7, 1). Find the equation of the circle.