Fan and Medal will be given !
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(−2, 7) and point D(−10, −1), what is another point that could represent a corner of the trail?

Question

Fan and Medal will be given !
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(−2, 7) and point D(−10, −1), what is another point that could represent a corner of the trail?

aizhalee · Answer

theres a big test coming next week and I need help working on this question , can someone please help me with questions like these ?

aizhalee · Answer

attachment

sdfgsdfgs · Answer

u have picked the right ans A :)

aizhalee · Answer

i guessed tho , I want to know how to get it @sdfgsdfgs

aizhalee · Answer

Can you help me ?

sdfgsdfgs · Answer

OK all 4 choices have 7 as the y-coordinate. so no need to worry about that right?

aizhalee · Answer

Yes .

sdfgsdfgs · Answer

look at A and D, what is the difference between their y-coordinates?

then look at G and H, what is the difference there?

aizhalee · Answer

A y coordinate is 7 and D ycoordinate is -1 . G y coordinate is  -2 and H y coordinate is  -4

sdfgsdfgs · Answer

So the difference between AD is 7-(-1)=8
GH is -2-(-4)=2
what is the ratio of the two differences?

aizhalee · Answer

8:2 ? simplified 4:1 ?

sdfgsdfgs · Answer

Yup. so u now know the ratio between the new and old shape: it is 4:1

aizhalee · Answer

Thank you so much so how do I use that to find the other end point of the parralelogram ?

sdfgsdfgs · Answer

What is the difference in X-coordinates between F and G?

aizhalee · Answer

4 and 7

sdfgsdfgs · Answer

n the difference is....

sdfgsdfgs · Answer

difference is to subtract one from the other...

aizhalee · Answer

7-4=3 **

sdfgsdfgs · Answer

Good :)
with the ratio, what should be the difference in the bigger shape?

Hint: it is 3*something...

aizhalee · Answer

with the ratio being 4:1 and the small shape is 3 spaces apart , the bigger shape has to be  12 ?

aizhalee · Answer

4 times 3 ?

sdfgsdfgs · Answer

Great job!

Now because that is the difference of the larger shape, all u have to do is adding that back to the X-coordinate of A

so -2 + (4 times 3) =?

aizhalee · Answer

im writing these in my notes

sdfgsdfgs · Answer

it is -2 + 12...

aizhalee · Answer

sorry with the parenthesis around the 4 +3 i thought i had to multiply

aizhalee · Answer

-2 + 12 = 10

sdfgsdfgs · Answer

BINGO n thats the ans u guessed correctly lol

aizhalee · Answer

Thank you sooooooooooooooooooo much !♥ I could hug you right now . I appreciate it :D !

sdfgsdfgs · Answer

welcome n hug u back @Aizhalee