Unit 3 Review

Unit 3 Review

I can review parallel and perpendicular lines to prepare for my test

Multiple Choice

Which of the following relationships proves that lines f and g are parallel?

• $<1\cong<4$

• $<1\cong<5$

• $<1\cong<6$

• $<1\cong<7$

 $<1\cong<5$  

alternate exterior angles

Multiple Choice

Line p passes through point (2,5) and is perpendicular to the line whose equation is 

 $y=2x+3$  Which equation describes the graph of line p?

•  $y=-\frac{1}{2}x+6$  

•  $y=-2x+9$  

•  $y=\frac{1}{2}x+4$  

•  $y=-\frac{1}{2}x+3$  

Line p passes through point (2,5) and is perpendicular to the line whose equation is   y=2x+3 Which equation describes the graph of line p?
Perpendicular slope is

 $-\frac{1}{2}$  substitute 2 and 5 into x and y for  y=mx+b
 $5=-\frac{1}{2}\left(2\right)+b$  
 $5=-1+b$  
 $b=6$  
Equations:  $y=-\frac{1}{2}x+6$  

Multiple Choice

Which statement best describes the relationship between the graphs of the two linear equations below?

 $y=\frac{3}{2}x+4$  
 $3x-2y=-8$  

• The lines are parallel

• The lines intersect and are perpendicular

• The lines intersect and are not perpendicular 

• The lines are the same

• solve for x on

   $3x-2y=-8$  

• subtract 3x  $-2y=-3x-8$  

• divide by -2  $y=\frac{3}{2}x+4$  

• Which is the same as the first line  $y=\frac{3}{2}x+4$  

• Therefore they can't be parallel, because they are same exact line

Multiple Choice

Which angle are congruent to <1?

• $<2,<3,\ and\ <6$

• $<4,<5,\ and\ <8$

• $<2,<4\ and\ <6$

• $<7,\ <4,\ and\ <5$

• Vertical <1 is < 4

• Corresponding <1 is <5

• Alternate interior angle <1 is <8

Multiple Choice

What is the equation of the line that contains the point (4,5) and is parallel to line 

 $y=-\frac{2}{3}x+\frac{7}{3}$  

•  $y=\frac{3}{2}x-\frac{23}{3}$  

•  $y=-\frac{3}{2}x+\frac{23}{3}$  

•  $y=-\frac{2}{3}x+\frac{23}{3}$  

•  $y=-\frac{2}{3}x-\frac{23}{3}$  

 $y=-\frac{2}{3}x+\frac{7}{3}$  Write a parallel equation that passes through (4,5)

• parallel slope  $-\frac{2}{3}$  subsitute 4 and 5 into y=mx+b

•  $5=-\frac{2}{3}\left(4\right)+b$  

•  $5=-\frac{8}{3}+b$  add 8/3 to 5

•  $b=\frac{23}{3}$  

• rewrite equations  $y=-\frac{2}{3}x+\frac{23}{3}$  

Fill in the Blanks

• If the measure of angle 5 is 120 and the measure of angle 4 is represented by (4x+20). What is the value of x?

• angles 4 and 5 are alternate interior angles which are congruent

• 4x+20=120 (subtract 20 on both sides)

• 4x=100 (divide 4 on both sides)

• x=25