To prove: that the quadrilateral formed by joining mid points of the sides of an isosceles trapezoid is a rhombus.
Explanation of Solution
Given information:
Given a isosceles trapezoid
Calculation:
Let us consider the following figure where
Since
The solution will takes two steps-
Step-1 First we have to show
So that,
Since
From (i) and (ii) it follows,
Step-2 To show that
And using step-1 and side-angle-side,
Finally to show the main result we joining
We can see for diagonal
Since,
Hence proved that the quadrilateral formed by joining mid points of the sides of an isosceles trapezoid is a rhombus.
Chapter 13 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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