# Worksheet: Parallel and Perpendicular Lines

Q1:

Two lines are perpendicular. What will the product of their slopes be?

Q2:

A staight line has the equation . Find the equation of the line perpendicular to that passes through the point .

• A
• B
• C
• D
• E

Q3:

The lines , , and , , are parallel. What is ?

Q4:

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

• A
• B
• C
• D

Q5:

• A
• B
• C
• D

Q6:

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

Q7:

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

• APerpendicular
• BParallel

Q8:

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

Q9:

The coordinates of points , , , and are , and (9, 2) respectively. Are the line segments and perpendicular?

• A It is impossible to tell.
• B yes
• C no

Q10:

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

Q11:

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

• A
• B6
• C
• D

Q12:

Find the gradient of the straight line which is parallel to the straight line passing through the points and .

• A
• B
• C
• D
• E7

Q13:

• A
• B
• C
• D 7

Q14:

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

• A2
• B
• C6
• D
• E3

Q15:

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

Q16:

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

• A
• B
• C
• D

Q17:

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

• A
• B
• C
• D

Q18:

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

• A
• B
• C
• D

Q19:

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

Q20:

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

• AYes
• BNo

Q21:

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

• A
• B
• C
• D