A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work to receive credit.
anonymous
 one year ago
Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work to receive credit.

This Question is Open

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0please help, i have 3 weeks untill i go to boot camp and i have to finish school.

phi
 one year ago
Best ResponseYou've already chosen the best response.1can you "read off" the (x,y) coords for points B and C ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok on C for B, you want the "sideways" number (the x) first you did it backwards.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my bad, i havent always been real sharp in math, physics and space science are my thing

phi
 one year ago
Best ResponseYou've already chosen the best response.1I assume you figured out we have B( 4,5), C(1,1) now find the slope. slope is change in y divided by change in x can you do that ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1change in "y" means subtract the y values , for example y value of pt B  y value of pt C what do you get ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i would subtract 5 from 4? or the other way around

phi
 one year ago
Best ResponseYou've already chosen the best response.1neither. the y value of point B (4,5) is the 2nd number in that pair then you find the y value of point C (1,1)

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok, try this put your finger on point C in the graph count straight up until you are at the same height as point B how many steps up is that ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1now count to the right until you get to point B if you move right, count that as a positive number how many steps do you move sideways?

phi
 one year ago
Best ResponseYou've already chosen the best response.1you just found change in y (up 4) and change in x (3 to the right) or rise/run (is how some people call it) in other words, the slope is 4/3 (that is change in y divided by change in x) now we have to find the slope of the other line.

phi
 one year ago
Best ResponseYou've already chosen the best response.1can you find the change in y from point F to pt E ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1no. just put your finger on pt F, and count up until you are at the same height as point E how many steps up ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1almost. if you start at F and go up 3 steps that is +3 for change in y but when you move sideways you go left 4 steps. write that as 4 (if you went in the other direction, to the right, that would be plus) what is the slope?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, or just \[  \frac{3}{4} \] (it means the same thing) lines are perpendicular if when you multiply their slopes, you get 1 what do you get when you multiply \[ \frac{4}{3} \cdot  \frac{3}{4} \]?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got 1/1 which is just 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my bad forgot negative

phi
 one year ago
Best ResponseYou've already chosen the best response.1I would write it this way: multiply top times top and bottom times bottom \[ \frac{4}{3} \cdot  \frac{3}{4}=  \frac{12}{12} = 1\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1they want you to show your work, so they may want to see how to calculate the slope (rather than count steps on the graph)

phi
 one year ago
Best ResponseYou've already chosen the best response.1F (1,1) E(5,4) change in y is 1  4 = 3 change in x is 1  5= 1+5 = 4 change in y divided by change in x is 3/4 =  3/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay its kinda starting to make sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that the final product

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can have your medal back when you come back...

phi
 one year ago
Best ResponseYou've already chosen the best response.1they want you to **prove that perpendicular lines have opposite and reciprocal slopes*** (though I would say "negative reciprocal") to do that , and show your work find the slope of each line. I showed you how to do it for the 2nd line try to do the same thing for the C E line (you know the correct answer) then say 4/3 and 3/4 are opposite reciprocal slopes, because when you multiply them, you get 1
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.