# 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.

Q1:

Find the length of the perpendicular drawn from the point to the straight line .

• A length units
• B length units
• C length units
• D length units

Q2:

Determine the length of the perpendicular from a point to the line .

• A
• B
• C
• D
• E

Q3:

Find the length of the perpendicular from the point to the straight line .

• A
• B
• C
• D

Q4:

Find the length of the perpendicular drawn from the point to the straight line passing through the points and .

• A units length
• B units length
• C units length
• D units length

Q5:

Find the length of the perpendicular line drawn from the point to the straight line that passes through the point and whose slope is .

• A length units
• B length units
• C length units
• D length units

Q6:

Consider the parallelogram whose vertices have coordinates , , , and . Calculate the area of the parallelogram to the nearest square unit.

Q7:

If the length of the perpendicular drawn from the point to the straight line is 10 length units, find all the possible values of .

• A or
• B or
• C or
• D or

Q8:

What is the distance between lines and ?

• A
• B
• C
• D

Q9:

What is the distance between the parallel lines and ?

• A
• B
• C
• D

Q10:

Determine the length of the perpendicular from a point to the line .

• A
• B
• C
• D
• E0