Grade 12 Coordinate Geometry Worksheet

A Grade 12 math worksheet focusing on advanced coordinate geometry concepts including distance, midpoint, sections, and transformations.

Grade 12 Math GeometryCoordinate Grid

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSS.G-GPE.B.4CCSS.MATH.CONTENT.HSS.G-GPE.B.5CCSS.MATH.CONTENT.HSS.G-GPE.B.7

Topics

MathGeometryCoordinate GridGrade 12

7 sections · Free to use · Printable

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Grade 12 Coordinate Geometry

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Find the distance between the points A(-3, 7) and B(5, -2).

2. Determine the midpoint of the line segment connecting P(4, -6) and Q(-8, 2).

3. The coordinates of the point that divides the line segment joining (x1, y1) and (x2, y2) internally in the ratio m:n are .

4. If a point divides a line segment externally in the ratio m:n, the formula differs by a sign.

5. Which of the following is the equation of a line perpendicular to y = 2x + 3 and passing through the point (4, 1)?

y = -2x + 9

y = (1/2)x - 1

y = (-1/2)x + 3

y = 2x - 7

6. Two lines are parallel if their slopes are negative reciprocals of each other.

True

False

7. Plot the points A(2, 3), B(-4, 1), and C(0, -2) on the coordinate plane. Then, translate the triangle ABC by the vector <-1, 2> and label the new vertices A', B', C'.