ID: A
10 ANS:
. To prove that TRAP is a trapezoid, show that one pair of opposite sides of the figure is
parallel by showing they have the same slope and that the other pair of opposite sides is not parallel by showing
they do not have the same slope:
To prove that a trapezoid is not an isosceles trapezoid, show that the opposite sides that are not parallel are also
not congruent using the distance formula:
REF: 080933b
11 ANS:
To prove that ABCD is a trapezoid, show that one pair of opposite sides of the figure is parallel by showing they
have the same slope and that the other pair of opposite sides is not parallel by showing they do not have the same
slope:
If
and
are parallel, then:
But the facts of the problem indicate
, so
and
are not parallel.
To prove that a trapezoid is an isosceles trapezoid, show that the opposite sides that are not parallel are congruent
using the distance formula:
REF: 080534b
5