MAFS.912.G-GPE.2.5 Practice

MAFS.912.G-GPE.2.5 Practice

parallel and perpendicular slopes

Multiple Choice

Are these lines parallel, perpendicular, or neither?

• parallel

• perpendicular

• neither

Multiple Choice

Are these lines parallel, perpendicular, or neither?

• parallel

• perpendicular

• neither

Multiple Choice

Are these lines parallel, perpendicular, or neither?

• parallel

• perpendicular

• neither

Perpendicular Slopes

• slopes of perpendicular lines will be negative reciprocals

• also called "opposite reciprocals"

• flip the slope and change the sign

• Ex. 2/3

• flip to 3/2 then change the sign: -3/2

• Ex. -4

• flip to 1/-4, then change the sign: 1/4

Parallel Slopes

• parallel lines have the same slope

• the lines will go up or down at the same rate

• vertical lines will both have a slope that is undefined

• horizontal lines will both have a slope of 0

• Ex. y = 5x - 6

• m=5, so a parallel line would also have a slope of 5, e.g. y = 5x+1

• 
  

Multiple Choice

Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)

• y = 2x + 4
• y = 2x + 6
• y = -2x + 6
• y = 2x - 6

write the equation of a line parallel

• find the slope, find the point and plug them both into the point slope formula:  $y-y_1=m\left(x-x_1\right)$  

• EX: write the equation of a line parallel to y = 6x -2 that passes through the point (-3, 8)

•  $y\ -\ 8\ =\ 6\left(x+3\right)$  

• then solve to y to convert to slope intercept form

•  $y\ =\ 6x+32$  

Multiple Choice

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4

Multiple Choice

The following equations when graphed will contain the sides of a polygon. What is the best name to describe the polygon the lines will create?

• isosceles trapezoid

• rectangle

• parallelogram

• acute triangle