Question

Two quadrilaterals ABCD and EFGH are drawn on a coordinate grid. The coordinates of the vertices of each quadrilateral are given below.

ABCD : A(-8, 0), B(-3, 12), C(9, 7), D(3, -5)
EFGH : E(-7, 7), F(-2, 19), G(10, 14), H(4, 2)

Which statement about the two quadrilaterals is true?

ABCD has half the area of EFGH.

ABCD is twice as large as EFGH.

ABCD is congruent to EFGH.

ABCD is neither congruent nor similar to EFGH.

Answer 1

don't you have any pic of it??

Answer 2

No :(

Answer 3

drawing them would make the problem easier

Answer 4

@amistre64 @Meepi @precal

Answer 5

as cwrw stated, doing a rough sketch would help you see it better

Answer 6

or we could move them both to the origin

ABCD : A(-8, 0), B(-3, 12), C(9, 7), D(3, -5)
+8 +8 +8 +8
---------------------------------------
0,0 5,12 17,7 11,-5

EFGH : E(-7, 7), F(-2, 19), G(10, 14), H(4, 2)
+7-7 +7-7 +7-7 +7-7
---------------------------------------
0,0 5,12 17,7 11,-5

Answer 7

now that they are both placed at the origin, what can you tell?

Answer 8

smart idea amistre

Answer 9

:) thnx

Answer 10

@amistre64 That helps a lot, I think I've got it from here. Thanks!