trapezoid

quadrilateral with: 

• One pair of parallel sides. One pair not.
• The angles on either side of the bases are the same size/measure (congruent).

square

                                                                     

• quadrilateral wiht
• Four congruent sides with four right angles. Bisects each other they are parallel and they bisect.

Rhombus

• quadrilateral withOpposite angles of a parallelogram are congruents. A parallelogram with four congruent sides.

quadrilateral

                                                        Rectangle

A four right angle.  A parallelogram with four congruent sides.

quadrilateral

quadrilateral

Opposite sides that are congruent  and opposite sides that are parallel.

quadrilateral

                                                                  Kite
Two pairs of congruent sides but opposite side are not congruents.

quadrilaterals

           Isosceles trapezoid


one part is parallel and the other is not parallel.

Altitudes and Orthocenters

Points of Concurrency

Conditonal Statements

ASA, SSS, SAS, AAS

ASA

Triangle ABCTriangle DEF

SSS

Triangle DEF is congruent to triangle CBA
                                          

SAS

Angle AB is congruent to angle FE.

AAS

Angle FED is congruent to angle ABC.