Problem 14 – Solution – pg. 2/2
Problem 14 – Solution: 1, 2
2. We know, from point 1. that ∠ ∠ .
and therefore and because  and  .
That’s means that :
[3] because they have two angles and one side equal:

∠ ∠

∠ ∠

is hypotenuse in both triangles.
If [3] is true, ∠ ∠ therefore is an isosceles triangle. That’s means that is median and height in as well as bisector to ∠ , therefore is on .
3. In the isosceles triangle , and therefore
[4]  .
(shown at [3]), therefore . That means that in the isosceles triangle ,
[5]  .
In conclusion:
[6]  therefore the quadrilateral ia a trapezoid.
because they have one angle and two sides equal:

∠ ∠ (equal differences of equal angles)
That’s means that:
[7]
[6] and [7] are evidence that the quadrilateral is a isosceles trapezoid.
Problem 14 – Solution: 1, 2
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