Asking for the most simplest explanation and help on these 5 questions on my homework?
sure what is it
It is geometry, I might give a warning.
Determine if triangle DEF with coordinates D (2, 1), E (3, 5), and F (6, 2) is an equilateral triangle. Use evidence to support your claim. If it is not an equilateral triangle, what changes can be made to make it equilateral? Be specific.
okay so are u aware of the distance formula?
Yes, I know of it but isn't it for only 2 points? How would I use it for 3?
true. but what you do is find the distance between d and e , and the e and f , and then finally f and d. if the distances are all the same then they are equilateral.
Okay, I see what you're saying there. That helped me with that question, thank you. Here is another out of the 5.
Triangle QRS has been rotated 90° to create triangle TUV. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work to receive credit.
okay so find the slope of the line U V and then find the slope of RS. Those are the lines that are perpendicular to eachother right? because you only need 2 points for a line. After you find the slope for UV ( take the coordinates for u and coordinates for v to find the slope) and RS then ( coordinates for point r and coordinates for point s to find the slope). You should notice that they are the opposite of eachother
Thank you so much for that. Here is the next.
A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 3:1 ratio. Find Q.
i think you can solve this. maybe start with finding the distance between the two?
I'll try to figure it out. I fiddled with it and I could 'possibly' plot the points on a graph and just try to figure it out that way. Thank you, again.
yea no problem:) I definitely think you are capable of solving this problem. don't let it scare you haha
I'll try not but, they seen so work intensive!! Which really they seem not. I have had problems with this one though, A retention pond is located close to a sidewalk where small children play. The city plans to fence it in to keep children from accessing the water. What is the perimeter of a triangular-shaped fence the city can place around the retention pond, using integer coordinates (no decimals) on the grid?
okay so try drawing a triangle around the lake so that the lake fits in side of the triangle. you should have three coordinates, for this problem lets call it A B and C for each side of the triangle. then use the distance formula to find the distance between A and B, B and C and C and A and then add all of the distances up and tada!
Hi, sorry about what happened, I was typing before the website did something. I asked how would the triangle be? Horizontal or vertical?
I don't think it matters because your question doesn't specify.
Hopefully it doesn't. Oh well, this my final assignment for this class then I am done with school finally. Here is the final question!
Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.
stay strong till the end! try to get a 100% on the last assignment:) i know you can do it. okay so for this try to divide them into triangles and squares let me know if you need help with this
ill draw them aswell and then we can compare answers k?:)
I can kinda see some triangles, but not all. I'll show you in a second!
here is my version, you can divide it however you want to. you can use mine or you can use yours.
That's kinda what I did!
\good job! but remember one more triangle can be formed from the square like thing in DAB. by drawing a line from D to the coordinate right next to A. if you dont understand what i just said look at my diagram which is very similar to yours
I see what you are saying!
the hardest part in calculating the area is for the left most triangle EFA. remember area of a triangle = half the base * height. so find the distance between F and A . using your handy dandy distance formula. which will give you your base and then find the midpoint between F and A and use that point and coordinate E, to find that distance which will give you your height. let me know if that made any sense
If I am correct, I find the area of all the triangles in the shape and then add them up? If then, other than that distance formula this seems pretty simple!
Yup! i knew you could do it:) good job!!
Alright thank you! I will keep this question open if I have any problems, if that is okay?
yea go ahead
Thank you!
sure np:)
Hi again, I am not sure if you are up, but I was wondering if you know how to change it into a equilateral for the first question. Like what would I do with that? I got the things for the distance formula but can't figure out the last part.
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