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Geometry worksheet in which students develop and apply the theorem relating the lengths of mid-segments of trapezoids to the lengths of the bases.
Geometry worksheet in which students apply the theorem relating the lengths of mid-segments of trapezoids to the lengths of the bases and write and solve equations to find the length of a base given the lengths of the other base and the mid segment.

Activity 3.8​

Assignment 3.9

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​Assignment 4.21

​The Midsegment of a Trapezoid

 
Objectives
Name and measure midsegments of trapezoids.
 
Develop and apply a theorem for the lengths of midsegments in trapezoids.
 
 
 
 
 
 

About Geometry Worksheet Assignment 4.21:        

 

Assignment 4.21 is an introduction to midsegments in trapezoids.

 

Prerequisite Skills:  Measure line segments (Assignment 1.11).  Solve algebraic equations with one variable.  

 

Definition:        A midsegment of a trapezoid is a line segment with endpoints at the midpoints of the legs of the trapezoid.

 

Theorems:      The midsegment of a trapezoid is parallel to the bases of the trapezoid and its length is one-half the sum of the lengths of the bases.

                              The length of a base of a trapezoid is the difference between twice the length of the midsegment and the length of the other base.

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