Question

Can someone help, please?
Here are the coordinates for eight points on the coordinate plane (q > p > 0): A (0, 0), B (p, 0), C (q, 0), D (p + q, 0), E (0, q), F (p, q), G (q, q), and H (p + q, q). Which four points, if any, are on the vertices of a rectangle?


a. A, B, F, and E
b. C, E, F, and G
c. D, C, E, and G
b. C, E, F, and G
d. F, E, D, and C

Answer 1

suppose the above is correct
the bottom vertices are at the origin (0,0) and (p,0)
can you work out what the coordinates of the points marked 'x'?
and see if they fit ?

Answer 2

the x coordinates of the points will be 0 and p

Answer 3

So it'll be A?

Answer 4

yes

Answer 5

Thank you so much!

Answer 6

yw - i could have chosen q or p+q as the x coordinate but they did not fit