# 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