Question

Can somebody help me on Geometry??

Answer 1

yes!

Answer 2

The coordinates for a rhombus are given as (2a, 0), (0, 2b), (–2a, 0), and (0, –2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry. Be sure to include the formulas.

Answer 3

I dont understand what it is telling me @Potatoes.ramu

Answer 4

Do you know hoe to find the coordinates of the mid point of each side first?

Answer 5

Is that were you use the midpoint formula? @Potatoes.ramu

Answer 6

Yup! Add the two x-coordinates and divide by two. Do the same for the y coordinates. And you get the mid point :)

Answer 7

wait what do you mean?

Answer 8

Do you know the midpoint formula?

Answer 9

heres a photo

Answer 10

Yea i do

Answer 11

M=(x1 + x2/ 2, y1 + y2/2)

Answer 12

isnt it that

Answer 13

yup! Try using distance formula to prove that it is a rectangle

Answer 14

okay so first i find the mid point and then i use the distance formula?

Answer 15

Yup use distance formula on the diagonals of the rectangle to prove that they are equal!

Answer 16

okay thankss

Answer 17

Next you need to prove that the angles are 90! To prove this using coordinate geometry, you find the slope of the consecutive sides using the slope formula. If the slopes are the negative inverse of each other then they are perpendicular therefore forming 90 degree angles.