SOLUTION: What steps do you take for the proof: Given: segment JK is congruent to segment ML; segment JM is congruent to segment KL. and prove: angle J is congruent to angle L?

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Question 1099022: What steps do you take for the proof: Given: segment JK is congruent to segment ML; segment JM is congruent to segment KL. and prove: angle J is congruent to angle L?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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In a normal geometric language this statements says: 

    If in a quadrilateral the opposite sides are congruent, then the opposite angles are congruent.

If you know the basic facts of Geometry, then the proof is in two steps: 

    1.  If in a quadrilateral the opposite sides are congruent, then the quadrilateral is a parallelogram.

        For the proof, see the lesson 
            Properties of the sides of a parallelogram, Theorem 2
        in this site.


    2.  In a parallelogram, the opposite angles are congruent.

        For the proof, see the lesson 
            Opposite angles of a parallelogram, Theorem 1
        in this site.


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In this site,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK

The referred lessons are the part of this online textbook under the topic  "Properties of parallelograms".


Save the link to this online textbook together with its description

Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

to your archive and use it when it is needed.