# Worksheet: Distance Between a Point and a Straight Line in the Coordinate Plane

Q1:

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

Q2:

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

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

Q3:

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

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 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

Q6:

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

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:

If the length of the perpendicular drawn from the point to the straight line is 8 length units, find all the possible values of .

• A or
• B or
• C or
• D or

Q9:

If the length of the perpendicular drawn from the point to the straight line is 6 length units, find all the possible values of .

• A or
• B or
• C or
• D or

Q10:

If the length of the perpendicular drawn from the point to the straight line is 9 length units, find all the possible values of .

• A or
• B or
• C or
• D or

Q11:

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

Q12:

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

Q13:

Find all values of for which the distance between the line and point is .

• A or 3
• B or
• C18 or
• D9 or

Q14:

Find all values of for which the distance between the line and point is .

• A or 4
• B or 1
• C or
• D or

Q15:

Find all values of for which the distance between the line and point is .

• A or 0
• B5 or
• C or
• D or

Q16:

Find all values of for which the distance between the line and point is .

• A or 3
• B or
• C or 10
• D or 5

Q17:

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

• A0
• B
• C
• D
• E

Q18:

What is the distance between the point and the line of gradient 1 through ?

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

Q19:

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

Q20:

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

Q21:

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

Q22:

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

Q23:

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

Q24:

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

Q25:

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