(a)
To Find: What special quadrilateral is formed if the congruent trapezoids shown are slid together?
(a)
Answer to Problem 7CE
Parallelogram
Explanation of Solution
Given:
When the congruent trapezoids shown are slid together it will become a parallelogram.
Since both trapezoids are congruent they have an equal area.
And the opposite sides are equal and congruent
Thus it will become a parallelogram.
(a)
To Derive: The formula.
(a)
Explanation of Solution
Given:
Area of parallelogram
Here
When we join both trapezoids
Base of parallelogram =
i.e.
Area of parallelogram
Now both the trapezoid are congruent thus they have an equal area
i.e.
Hence proved.
Chapter 11 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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