Question

Sarah is drawing a parallelogram abcd on a coordinate plane. the parallelogram has the coordinates A(-7,5) B(6,5) and D(-9,-2). which of the following coordinates should sarah use for point c?

A. (6,-3)
B. (4,-5)
C. (4,-2)
D. (6,3)​

Answer 1

(4,-2)

Explanation:

Okay, I figured out the answer...

You need to use the
`(y_(2)-y_(1) )/(x_(2)-x_(2))` formula.

We know that AB is parallel to CD....(so whatever answer ad is, then cd will have that same answer).

We also know that AD is parallel to BC...(so whatever answer ad is, then bc will be the same).

So we need to find AB, CD, AD, BC. We have to do CD and BC later because we don't have the c.

Find AB:
`(5-5)/(6-(-7))`=
`(0)/(13)`= 0

Find AD:
`(-2-5)/(-9-(-7))` =
`(-7)/(-2)`

So now that we have the basic ones, we know that AB is parallel to CD. Therefore CD should have the same slope of 0/13 or 0. SO we need to find numbers that combine with the x and y of AB. When they do combine, they should give a fraction of 0/13.

Find CD:
`(-2+2)/(-9-4)` ( we already had the -2...what number adds to -2 to make it zero?...positive 2.....Then, we already had -9 from the D coordinates. So what # adds/subs to -9 to make it 13 or -13...well 4 does. Remember to put the correct signs (-+) in the equation. Our answer is 4,-2). If we had to use positive two, then we take the opposite for our answer. We used -4, so we take the opposite for our answer. Then later on, you can plug in (4,-2) into BC to see if you were to get the slope of -7/-2. which you do.

Answer 2

C (4,-2) is the answer