Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
bethjewell1996
Group Title
In the figure, the horizontal lines are parallel, and AB = BC = CD. Find KL and FG.
 one year ago
 one year ago
bethjewell1996 Group Title
In the figure, the horizontal lines are parallel, and AB = BC = CD. Find KL and FG.
 one year ago
 one year ago

This Question is Closed

LogicalApple Group TitleBest ResponseYou've already chosen the best response.1
You can see that all the shaded triangles are similar because they all share an angle through parallel lines cut by a transverse line. They are all similar because they each have three equal angles. All three have a 90 degree angle, all three have the same angle between the diagonal and the vertical blue lines, and all three have the same angle between the diagonal and the horizontal parallel lines. To prove that all three triangles are equal, just notice that the diagonal of each triangle is the same since it is given in the question. Since similar sides of similar triangles are equal, the remaining sides must also be equal, and hence the triangles are all congruent. Knowing this, you can already determine EF = FG = GH = 8.8 Use this knowledge, and Pythagorean's theorem, to determine KL.
 one year ago

LogicalApple Group TitleBest ResponseYou've already chosen the best response.1
I mean to say, each triangle "share three angles", not that the three angles are all the same, per se.
 one year ago

bethjewell1996 Group TitleBest ResponseYou've already chosen the best response.0
KL = 8.8; FG = 8.8 KL = 8.8; FG = 8.9 KL = 8.9; FG = 8.9 KL = 8.9; FG = 8.8 These are my answers
 one year ago

LogicalApple Group TitleBest ResponseYou've already chosen the best response.1
Now that I am looking at the picture, I am assuming KL is the length of the diagonal? In that case it is just another instance of congruent triangles. So KL = 8.9 and FG = 8.8.
 one year ago

bethjewell1996 Group TitleBest ResponseYou've already chosen the best response.0
Okay thank you so much for you help :)
 one year ago
See more questions >>>
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.