# Worksheet: Slope: Parallel & Perpendicular Lines

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

Q1:

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

• AYes
• BNo

Q2:

Two lines have slopes of and , and cut the -axis at different points. Are the two lines parallel?

• AYes
• BNo

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 .