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PRODUCT DESCRIPTION
This is a worksheet that I used to accompany a lesson taught within my classroom. It primarily includes problems related to the topic of the worksheet, but I also included problems that spiral prior lessons.
By purchasing the worksheet, you will receive:
· a two-page worksheet in Word and PDF form
· an answer key to the worksheet in Word and PDF form
A worksheet for independent practice for students is included. The problems are placed in gray outlined boxes to create a workspace for students (if they need it). The worksheet is in Word and PDF.
My answer key is provided (sorry, I write small). It is provided as a PDF, but also as a Word document. I complete my answer keys on my iPad, so you can edit certain problems/answers if you choose to in Word.
Description of parallel and perpendicular lines worksheet answers key geometry
WS #46 WS: 4.3 Parallel & Perpendicular Lines Name 1. Consider the equation y 5 1. 3 a. What is the slope of the graph of this equation? b. What is the slope of the lines parallel to the graph of
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5-6 parallel and perpendicular lines, so we're still dealing with y is equal to MX plus B remember that M is our slope, so that's what we're going to be working with a lot today we have parallel and perpendicular lines so parallel these lines never cross and how they're never going to cross it because they have the same slope an example would be to have 2x plus 4 or 2x minus 3, so we see the 2 getting multiplied to the X, so that's our slope they're the same these are parallel lines perpendicular is a little different y is equal to if we say 2x then our slope for a perpendicular line has to have an opposite, so this is positive this slope has to be negative so, and then we want the reciprocal we have a 2 over 1, so we want 1 over 2, so we have an opposite reciprocal for perpendicular lines okay, so first we're going to deal it says write an equation of a line that passes through the given point and is parallel, so we're dealing with parallel, so we want the slope to be the same, so we want the slope to be the same as this equation right here, so we pull the slope out, so now we have a slope and a point, so it's just like our other assignment, so I'm going to use Y is equal to MX plus B so Y here's my X and my Y is 2 my slope is 3 my X is 3, and I'm trying to find out what my intercept is, so I do my algebra three times three is nine, and then I'm going to subtract 9 from both sides so B is equal to negative 7, so now I can write my equation y is equal to the slope is the same as this one 3 and then X minus 7 is the equation that goes through this point right here in the next section it says determine whether the graphs of the given equations are parallel perpendicular are neither so if they're parallel they're going to have the same slope but if they're perpendicular they're going to be opposite reciprocal and if they're not the same or they're not opposite reciprocals Venice neither, so we need the equations to say y is equal to so this one does not, so we're going to add 4x to both sides of the equation now we have Y is equal to 4x minus 13, and then we take a look at our slopes so here I have a slope of 4 here I have a slope of 4, so this is a parallel these lines are parallel on the backside of your paper it says write an equation of a line that passes through the given point and is perpendicular to the graph of the given equation, so we need to look here at our slope, and we want the opposite, so now our slope is going to be positive and reciprocal, so we're going to use the slope of 1/2, and I need to write the equation so going to use Y is equal to MX plus B I'm going to put in 1/2 for the slope y is 2 X is negative 1, and I need to solve for B so 2 is equal to negative 1/2, so I'm going to add 1/2 to both sides so B is equal to 2 and 1/2, so I can write my equation y is equal to here's my slope the opposite reciprocal of this slope and I have a positive 2 and 1/2