Distance Between Parallel Lines
A Grade 10 math worksheet focusing on calculating the distance between two parallel lines using various methods, including coordinate geometry and formulas.
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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 to write your answers. For multiple-choice questions, circle the correct option.
1. Which of the following statements is true about parallel lines?
They intersect at one point.
They have different slopes.
They never intersect.
They are perpendicular.
2. What is the slope of a line parallel to y = 3x - 5?
-3
1/3
3
-1/3
3. The distance between two parallel lines is defined as the distance between any point on one line and the other line.
4. For two parallel lines given by Ax + By + C1 = 0 and Ax + By + C2 = 0, the distance between them is |C1 - C2| / √ .
5. Find the distance between the parallel lines y = 2x + 3 and y = 2x - 7.
6. Determine the distance between the lines 3x + 4y = 10 and 3x + 4y = -5.
7. Consider the lines L1: y = -x + 4 and L2: y = -x - 2.
a) Plot both lines on the coordinate plane below.
b) Calculate the perpendicular distance between L1 and L2.
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