Question

The coordinates of the vertices of quadrilateral ABCD are A (-8, 8), B (-4, 8), C (-4, 4), D (-8, 4). The coordinates of the vertices of quadrilateral PQRS are P (-10, 10), Q (-2, 10), R (-2, 2), S (-10, 2).

Which statement is correct?

Quadrilateral ABCD is similar to quadrilateral PQRS.

Quadrilateral ABCD is congruent to quadrilateral PQRS.

Both the quadrilaterals have all sides unequal in length.

The diagonals of neither quadrilateral are congruent.

Answer 1

place both sets of points so that the "same" corner is at the origin; that should help you see and compare them better

Answer 2

okay, I keep thinking it's B but I don't think i'm right

Answer 3

A (-8, 8), B (-4, 8), C (-4, 4), D (-8, 4)
+8 -8 +8 -8 +8 -8 +8 -8
-----------------------------------
0,0 4,0 4,-4 0,-4 <-- this looks rectangular to me


P (-10, 10), Q (-2, 10), R (-2, 2), S (-10, 2)
+10 -10 +10 -10 +10 -10 +10 -10
----------------------------------------
0,0 8,0 8,-8 0,-8

Answer 4

now that they have been moved, we can see that the PQ stuff is 2 times the AB stuff, so they are similar

Answer 5

to be congruent, they would have to be exactly the same .... since we moved them to th eorigin, and their points do not equal each other, they cannot be congruent

Answer 6

okay thanks :)

Answer 7

youre welcome, that tends to be the simplest way i see to work these things is to move them to the origin respectively and compare them :) good luck

Answer 8

i'll try and remember that next question!