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Geometry worksheet in which students identify consecutive and opposite angles in quadrilaterals,, and develop and apply a theorem about the measures of consecutive angles in trapezoids.
Geometry worksheet that helps students apply theorems that relate measures of consecutive and opposite angles in parallelograms and isosceles trapezoids.

Activity 3.8​

Assignment 3.9

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​Assignment 4.17

​Angles of Quadrilaterals

 
Objectives
Name consecutive and opposite angles of quadrilaterals.
 
Develop and apply theorems to calculate measures of angles in parallelograms and trapezoids.
 
 
 
 
 
 

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

 

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