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Answer:
k = 4 units
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
k² + 7.5² = 8.5²
k² + 56.25 = 72.25 ( subtract 56.25 from both sides )
k² = 16 ( take the square root of both sides )
k = = 4
The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
<h3>How to prove a Parallelogram?</h3>The six basic properties of parallelograms are primarily;
- Both pairs of opposite sides are parallel
- Both pairs of opposite sides are congruent
- Both pairs of opposite angles are congruent
- Diagonals bisect each other
- One angle is supplementary to both consecutive angles (same-side interior)
- One pair of opposite sides are congruent AND parallel.
Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
Read more about Parallelogram Proof at; brainly.com/question/24056495
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