Distance Between Parallel Lines Worksheet
Grade 9 Math worksheet on calculating the distance between two parallel lines using coordinate geometry.
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Distance Between Parallel Lines
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Read each question carefully and show all your work. Use the provided coordinate planes to help visualize the lines where applicable.
1. In your own words, explain what it means for two lines to be parallel.
2. Why is the concept of 'distance' between two parallel lines always constant?
1. To find the distance between two parallel lines, you can pick any point on one line and find its perpendicular distance to the line.
2. The formula for the distance between a point (x₁, y₁) and a line Ax + By + C = 0 is .
1. Which of the following is NOT a characteristic of parallel lines?
They have the same slope.
They never intersect.
They have different y-intercepts.
They have the same y-intercept.
2. What is the slope of a line perpendicular to a line with slope 2/3?
2/3
-2/3
3/2
-3/2
1. Find the distance between the parallel lines y = 2x + 1 and y = 2x - 4.
2. Calculate the distance between the lines 3x - 4y = 6 and 3x - 4y = -9.
1. The distance between two parallel lines can be negative.
True
False
2. All points on one parallel line are equidistant from the other parallel line.
True
False
A square has two sides lying on the lines y = x + 3 and y = x - 2. What is the area of the square?