If two quadrilateral are plotted in the upper left and upper right quadrants, respectively and points correspond to A(-2,6), B(-4,12), C(-8,14) and D(-6,6). On the upper right, P(2,6), Q(4,12), R(8,14), and S(6,6) then the statement which shows that ABCD and PQRS are congruent is option B which is corrsponding pairs of sides on ABCD and PQRS are equal in length.
Given coordinates of A(-2,6), B(-4,12), C(-8,14) , D(-6,6) and P(2,6), Q(4,12), R(8,14), and S(6,6).
PQ=
=
=
= units
AB=
=
=
= units
QR=
=
=
=units
BC=
=
= units
RS=
=
= units
CD=
=
= units
SP=
=
=4 units
DA=
=
=4 units
AB=PQ,QR=BC,SR=DC,PS=AD.
Hence the right statement is that corresponding pairs of side ABCD and PQRS are equal in length.
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