Lesson Worksheet: Perpendicular Distance from a Point to a Line on the Coordinate Plane Mathematics
In this worksheet, we will practice finding the perpendicular distance between a point and a straight line or between two parallel lines on the coordinate plane using the formula.
Find all values of for which the distance between the line and point is .
- A18 or
- B or 3
- C9 or
- D or
What is the distance between the point and the line of slope 1 through ?
- A length units
- B length units
- C length units
- D length units
Find the perpendicular distance between the point and the -axis.
If the length of the perpendicular drawn from the point to the straight line equals , find all possible values of .
- A83 or
- B or
- C or
- D83 or
- E57 or 9
Suppose and are equal chords in a circle , where the coordinates of points , , and are , , and respectively. Find the distance between chord and .
What is the distance between lines and ?
Find the shortest distance between the line and point .
Determine the shortest distance between the line and the point .
The length of the perpendicular from the point to a straight line is 2 length units, where the vector is the direction vector of the straight line. Determine the equations of the two straight lines that satisfy these conditions.
Calculate the area of the circle of center that is tangent to the line . Give your answer to the nearest hundredth.
Determine the shortest distance between the two parallel lines whose equations are and .
Find the shortest distance between the two parallel lines with equations and .
The distance between two parallel lines is . If a third line is perpendicuar to both these lines, and intersects them at the points and , find all possible values of .
- A or
- B or
- C or
- D or
- E or
Find the shortest distance between the following two parallel lines: If necessary, round your answer to 2 decimal places.