http://www.ck12.org Chapter 6. Polygons and Quadrilaterals
Review Queue Answers
1.Opposite Sides Theorem Converse:If the opposite sides of a quadrilateral are congruent, then the figure is a
parallelogram.
Opposite Angles Theorem Converse:If the opposite angles of a quadrilateral are congruent, then the figure is a
parallelogram.
Consecutive Angles Theorem Converse:If the consecutive angles of a quadrilateral are supplementary, then the
figure is a parallelogram.
Parallelogram Diagonals Theorem Converse:If the diagonals of a quadrilateral bisect each other, then the figure
is a parallelogram.
All the converses are true.
a) SlopeAB=SlopeCD=−^12
SlopeAD=SlopeBC=^23
ABCDis a parallelogram because the opposite sides are parallel.
b) Midpoint ofBD= ( 0 ,− 2 )
Midpoint ofAC= ( 0 ,− 2 )
Yes, the midpoint of the diagonals are the same, so they bisect each other. This corresponds with what we found in
part a.