Parallel, Perpendicular, and Skew Lines

Parallel, Perpendicular, and Skew Lines

G.GPE.B.5 Guide 1/2

Multiple Choice

Determine the relationship between  $$\overline{AB}\ \&\ \overline{CD}$$  

• Skew

• Parallel

• Intersect

Multiple Choice

Determine the relationship between  $$\overline{EF}\ \&\ \overline{DG}$$  

• Skew

• Parallel

• Intersect

Multiple Choice

Determine the relationship between  $$\overline{AF}\ \&\ \overline{EF}$$  

• Skew

• Parallel

• Intersect

Multiple Choice

Determine the relationship between  $$\overline{CD}\ \&\ \overline{AH}\$$  

• Skew

• Parallel

• Intersect

​Remember the three forms of equations of lines and how to find the slope in each.

Multiple Choice

$$y=-x+5$$  

$$-3y=3x+9$$  

• Parallel

• Not Parallel

Multiple Choice

$$3x+5y=15$$   $$3y+5x=15$$  

• Parallel

• Not Parallel

Multiple Choice

$$y=3x+5$$   $$y=\frac{15}{5}x-2$$  

• Parallel

• Not Parallel

Multiple Choice

$$y=-x+5$$   $$y=x+9$$  

• Perpendicular

• Not Perpendicular

Multiple Choice

$$3x+5y=15$$   $$3y-5x=15$$  

• Perpendicular

• Not Perpendicular

Multiple Choice

$$y=-3x+5$$   $$y=\frac{15}{5}x-2$$  

• Perpendicular

• Not Perpendicular

Fill in the Blanks

What is the equation of the line that is parallel to to  $y=-7x-5$  and goes through the point  $A\left(1,3\right)$  ? Write answer in slope intercept form.

Fill in the Blanks

What is the equation, in slope-intercept form, of the line that is perpendicular to  $y=\frac{1}{4}x-2$  and goes through point  $A\left(-12,4\right)$  ?