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

It would be easiest to see this if you plot both shapes on graph paper.

But you can also compare how each side looks... like from A to B, you move right 5 units (from -8 to -3) and up 12 units (from 0 to 12). Then look at the corresponding part of the other shape... moving from E to F, and see how it compares.

If all the corresponding point-to-point changes in the coordinates are the same between both shapes, it is congruent. If the changes in ABCD are half as much as in EFGH, then ABCD is half as big, and so on.

Answer 2

thank you real help bra.