12.2 Other Congruence Properties

construction of congruent ∆’s by ASA —on your own

construction of congruent ∆’s by AAS —on your own

Example

what about construction of congruent ∆’s by ASS?????? –this is not possible—look at p. 24 in your packet.

Table

1. Trapezoid—a quadrilateral with exactly one pair of parallel sides.

consecutive angles between parallel sides are supplementary

1. Parallelogram—a quadrilateral in which each pair of opposite sides is parallel.

opposite sides are congruent

opposite angles are congruent

diagonals bisect each other

1. Rectangle—a parallelogram with a right angle.

has all properties of a parallelogram

all angles of a rectangle are right angles

the diagonals are congruent and bisect each other

lines containing diagonals are perpendicular to each other

line containing one diagonal is a bisector of the other

one diagonal bisects non-consecutive angles

1. Rhombus—a parallelogram with all sides congruent.

has all properties of a parallelogram and a kite

all sides are congruent

diagonals are perpendicular to and bisect each other

each diagonal bisects opposite angles

1. Square—a rectangle with all sides congruent.

has all properties of a parallelogram, a rectangle, and a rhombus