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Distance Between Parallel Lines

A Grade 12 Math worksheet focusing on calculating the distance between two parallel lines using various methods and coordinate geometry.

Grade 12 Math GeometryDistance Between Two Parallel Lines
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSG.GPE.B.5CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

Grade 12MathGeometryParallel LinesDistance FormulaCoordinate Geometry
8 sections · Free to use · Printable
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Distance Between Parallel Lines

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Read each question carefully and show all your work. Use the provided space for your answers.

1. Find the distance between the two parallel lines given by the equations: 3x + 4y = 6 and 3x + 4y = 16.

2. The formula for the distance between two parallel lines Ax + By + C1 = 0 and Ax + By + C2 = 0 is d = |C1 - C2| /  .

3. Which of the following pairs of lines are parallel?

a

y = 2x + 1 and y = -2x + 3

b

y = 3x - 5 and y = 3x + 2

c

y = 1/2x + 4 and y = -2x - 1

d

y = x + 7 and y = -x + 7

4. Calculate the distance between the lines 2x - y = 5 and 4x - 2y = 10. What do you observe about these lines?

5. The distance between two parallel lines is always positive.

T

True

F

False

6. Consider the line y = -x + 5. Find the equation of a parallel line that passes through the point (2, 1). Then, find the distance between these two parallel lines.