# Lesson Worksheet: Perpendiculars and Distance Mathematics

In this worksheet, we will practice finding the perpendicular distance between a point and a straight line and between two parallel lines.

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:

Find the shortest distance between the line and the point .

• A
• B
• C
• D
• E

Q3:

Find the shortest distance between the line and point .

Q4:

Find the perpendicular distance between the point and the -axis.

Q5:

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

Q6:

Find the length of the perpendicular from the point to the -axis.

Q7:

Find the length of the perpendicular from the point to the -axis.

Q8:

Find the length of the perpendicular drawn from the origin to the straight line rounded to the nearest hundredth.

• A4.20Β length units
• B14.85Β length units
• C0.24Β length units
• D21.00Β length units

Q9:

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

Q10:

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