Math 3 Hon Unit 1 Quadrilateral Classifications Quadrilateral

Math 3 Hon – Unit 1: Quadrilateral Classifications Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Isosceles Trapezoid Square Kite

Quadrilateral Kite | > ||| $ 45 o || || >>| >| || >> >> $ ||| || || |>> Opp. sides are parallel. Opp. angles are congruent. Opp. sides are parallel. Consecutive angles are supp. Diagonals bisect each other. $ |> All four sides are congruent Four congruent triangles are made Diagonals bisect vertex angles Diagonals are perpendicular || || || Base angles are congruent. Base legs are congruent. Diagonals are congruent. Rhombus || Isosceles Trapezoid || || || > >| | | ||| > $ ||| $ $ | || $ >> | |> >> >> | > ||| Parallelogram ||| > | Exactly one pair of opp. sides are parallel. ||| || || Trapezoid | > 2 Sets of consecutive sides are congruent. Diagonals are perp. One diagonal bisect vertices >| Square A rectangle that is also a rhombus Rectangle Diagonals are congruent All four angles are right angles

Diagonal Properties Opposite sides are parallel Opposite sides are congruent Opposites angles are congruent Consecutive sides are congruent Consecutive Angles are supplementary Diagonals bisect each other. Diagonals are congruent. Diagonals are perpendicular. Diagonals bisect vertex angles. Diagonals form 2 pairs of congruent triangles. Diagonals form 4 congruent triangles. Parallelogram Rectangle Rhombus Kite Square Isosceles Trapezoid

Diagonal Properties Opposite sides are parallel Opposite sides are congruent Opposites angles are congruent Consecutive sides are congruent Consecutive Angles are supplementary Diagonals bisect each other. Parallelogram Rectangle Rhombus X X X X X X x X X Diagonals are congruent. X X X Diagonals are perpendicular. Diagonals bisect vertex angles. Diagonals form 2 pairs of congruent triangles. Diagonals form 4 congruent triangles. X X Kite X Square Isosceles Trapezoid X (sort of ) X