# Lesson Worksheet: Slopes of Parallel and Perpendicular Lines Mathematics

In this worksheet, we will practice using the concept of slopes to determine whether two lines are parallel or perpendicular and using these geometric relationships to solve problems.

**Q3: **

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

- AYes
- BNo

**Q4: **

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

- AParallel
- BPerpendicular

**Q5: **

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

- A
- B
- C
- D

**Q6: **

If and the slope of , find the slope of .

- A
- B
- C
- D

**Q8: **

If and the slope of , find the slope of .

- A
- B
- C
- D7

**Q9: **

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

**Q10: **

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

**Q11: **

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

- A
- B
- C
- D

**Q12: **

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

- A
- B
- C
- D

**Q13: **

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

- A
- B
- C
- D

**Q15: **

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

**Q16: **

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

**Q17: **

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

**Q18: **

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

- A
- B
- C
- D

**Q21: **

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 parallel.
- CThey are perpendicular.

**Q23: **

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

**Q24: **

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

- AYes
- BNo

**Q25: **

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