​Angles of Quadrilaterals

About Geometry Worksheet Assignment 4.17:        

 

Assignment 4.17 is an introduction to the relationships of measures of angles in parallelograms and trapezoids.

 

Prerequisite Skills:  Name angles (Assignment 2.4). Calculate the measures of angles in linear pairs (Assignment 4.4). Calculate the measures of interior angles on the same side of a transversal that intersects parallel lines (Assignment 4.6).  Solve algebraic equations with one variable.  

 

Definitions:   Consecutive angles in a quadrilateral are angles with vertices that are endpoints of the same side of the quadrilateral.  

                             Opposite angles are angles that are not consecutive.

 

Theorems:     Consecutive angles at the endpoints of a leg of a trapezoid are supplementary.

                             Consecutive angles of a parallelogram are supplementary.

                             Opposite angles of a parallelogram are congruent.

                             The base angles of an isosceles trapezoid are congruent