Diagonal Dilemma
Name _____________________________ class ____
Match each quadrilateral with the properties of their diagonals.
SQUARE
PARALLELOGRAM KITE RECTANGLE RHOMBUS
_____________The diagonals bisect each other
_____________Diagonals are congruent
_____________One diagonal is the perpendicular bisector of the other and one diagonal bisects
a pair of opposite angles
_____________The diagonals bisect the angles, they are perpendicular bisectors of each other,
and divide the quadrilateral into four congruent right triangles
_____________The diagonals bisect the angles, they are perpendicular bisectors of each other,
divide the quadrilateral into four congruent right triangles and the diagonals form four
isosceles right triangles.
Use the diagonals to determine whether a parallelogram with the given vertices is a
rectangle, rhombus, or square. Give all the names that apply.
1. A (-10, 4) B (-2, 10) C(4, 2) D (-4, -4)
2. J (-9, -7) K (-4, -2) L (3, -3) M (-2, -8)
3. P (-1, 4) Q(2, 6) R (4, 3) S (1,1)
Diagonal Dilemma
Name _____________________________ class ____
4. The vertices of a square PQRS are P (-4, 0) Q (4, 3) R (7, -5) and S (-1, -8).
Show that the diagonals of square PQRS are congruent perpendicular bisectors of each
other.
Fill out the flow chart with the names of quadrilaterals. Mark the diagrams with congruent
information and facts about each diagonal, side lengths, angles...mark it all!