Question

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.

A rhombus is drawn on a coordinate plane and the midpoints of all 4 sides are plotted.

Answer 1

ihdk

Answer 2

dis thing was hard for me idk what to do on it.

Answer 3

hang on

Answer 4

u have a guesse

Answer 5

ABC and D

Answer 6

Idk the answer. All the questions I´ve posted are all open writing questions. Thats why I´m posting them, I suck with these questions.

Answer 7

ok i can say a explnation if that will work

Answer 8

yeah thats fine

Answer 9

ok hang on i will type a lot

Answer 10

ok

Answer 11

Let the points of rhombus be A(2a,0), B(0,2b), C(-2a,0) and D(0,-2b).

Let midpoints of AB be P, then



Let the mid point of BC be Q, then



Let the mid point of CD be R, then



and Let the mid point of DA be S, then



It can be seen that P lies in quadrant I, Q in Quadrant II, R in III and S in IV, Further P and Q are the reflections of each other in y-axis, Q and R are the reflections of each other in x-axis,R and S are reflection of each other in y -axis and S and P are reflection of each other in x -axis.

Answer 12

please tell me that helps

Answer 13

actually yeah it does thx a lot frfr

Answer 14

no problem

Answer 15

glad to help :)

Answer 16

thanks for the medal