In this worksheet, we will practice determining if two lines are parallel or perpendicular and using these geometrical relationships to solve problems.

**Q4: **

Two lines and have slopes of and respectively. Are the two lines perpendicular?

- AYes
- BNo

**Q5: **

Two lines and have slopes of and respectively. Are the two lines parallel or perpendicular?

- APerpendicular
- BParallel

**Q6: **

Which of the following relates the slopes and of two parallel lines?

- A
- B
- C
- D

**Q7: **

If and the slope of , find the slope of .

- A
- B
- C
- D

**Q8: **

Suppose that is the line and the line . Find the value of so that .

- A
- B6
- C
- D

**Q10: **

If and the slope of , find the slope of .

- A
- B
- C
- D 7

**Q11: **

If the two straight lines whose slopes are and are perpendicular, what is the value of ?

**Q12: **

Suppose that the points , and are such that . What is the value of ?

**Q13: **

Which of the following relates the slopes and of two perpendicular lines?

- A
- B
- C
- D

**Q14: **

Let be the line on points and . What is the slope of the perpendicular to that passes through the origin ?

- A
- B
- C
- D

**Q15: **

Given that is a trapezium, where , and the coordinates of points , , , and are , , , and , respectively, find the coordinates of point .

- A
- B
- C
- D

**Q16: **

If the two straight lines and are parallel, find the value of .

**Q17: **

Let be the line parallel to the line and that has -intercept . Give the equation of in the form .

- A
- B
- C
- D

**Q19: **

Complete the following definition. Two line segments are said to be perpendicular if the product of their slopes is .

**Q20: **

The slope of the straight line that is parallel to the -axis is .

**Q22: **

Lines and are perpendicular to each other and meet at . If the slope of is 0, what is the equation of line ?

- A
- B
- C
- D
- E

**Q23: **

Which of the following lines is parallel to ?

- A
- B
- C
- D
- E