6.6 Special Quadrilaterals

Day 6

Summarizing Properties of Quadrilaterals

Quadrilateral

Kite Parallelogram Trapezoid

Rhombus Rectangle

Square

Isosceles Trapezoid

Identifying Quadrilaterals

Quadrilateral ABCD has at least one pair of opposite sides congruent. What kinds of quadrilaterals meet this condition?

Sketch KLMN. K(2,5), L(-2,3), M(2,1), N(6,3).

Show that KLMN is a rhombus.

Copy the chart. Put an X in the box if the shape

always has the given property.

Property Parallelogram

Rectangle Rhombus Square Kite Trapezoid

Both pairs of opp. sides are ll

Exactly 1 pair of opp. Sides are ll

Diagonals are perp.

Diagonals are cong.

Diagonals bisect each other

XX X X

X

X XX

X X

X X

Determine whether the statement is true or false. If it is true, explain why. If it is false, sketch a counterexample. If CDEF is a kite, then CDEF is a convex

polygon.

If GHIJ is a kite, then GHIJ is not a trapezoid.

The number of acute angles in a trapezoid is always either 1 or 2.