# Worksheet: Slope: Parallel & Perpendicular Lines

In this worksheet, we will practice determining whether graphs of lines are parallel or perpendicular.

**Q3: **

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

- ANo
- BYes

**Q4: **

Describe the relative positions of the straight lines and .

- AThey are parallel.
- BThey are perpendicular.
- CThey are coincident.

**Q5: **

How would you describe the relation between the lines and ?

- Aperpendicular
- Bcoincident
- Cparallel
- Dintersecting and not perpendicular

**Q6: **

Let be the line through the points and and the line through and . Which of the following is true about the lines and ?

- AThey are intersecting but not perpendicular .
- BThey are perpendicular.
- CThey are parallel.

**Q7: **

The line passes through the points and , and the line passes through the points and . Are the two lines perpendicular?

- A yes
- B no

**Q8: **

What is the value of , if lines and are parallel?

- A
- B
- C
- D

**Q9: **

The line through points and is perpendicular to the line . Find .

**Q10: **

If the line that passes through the points and is perpendicular to the line passing through the points and , what is the value of ?

**Q11: **

The line on the points and is parallel to one that makes an angle of with the positive -axis. Determine to the nearest integer.

- A9
- B11
- C7
- D

**Q12: **

Describe the relative positions of the straight lines and .

- AThey are parallel.
- BThey are perpendicular.
- CThey are coincident.

**Q13: **

How would you describe the relation between the lines and ?

- Aperpendicular
- Bintersecting and not perpendicular
- Cparallel
- Dcoincident

**Q14: **

How would you describe the relation between the lines and ?

- Acoincident
- Bintersecting and not perpendicular
- Cperpendicular
- Dparallel

**Q15: **

How would you describe the relation between the lines and ?

- Aintersecting and not perpendicular
- Bperpendicular
- Cparallel
- Dcoincident

**Q16: **

What is the value of , if lines and are parallel?

- A
- B
- C
- D

**Q17: **

Let be the line through the points and and the line through and . Which of the following is true about the lines and ?

- AThey are perpendicular.
- BThey are intersecting but not perpendicular .
- CThey are parallel.

**Q18: **

Let be the line through the points and and the line through and . Which of the following is true about the lines and ?

- AThey are perpendicular.
- BThey are intersecting but not perpendicular .
- CThey are parallel.

**Q19: **

The line through points and is perpendicular to the line . Find .

**Q20: **

The line through points and is perpendicular to the line . Find .