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?

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(52821) (Show Source): You can put this solution on YOUR website!
.
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.

-----------------
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.

RELATED QUESTIONS
what would be the steps to solve the proof with the given: segment ab is congruent to... (answered by ikleyn)

this a worksheet i do NOT understand. but if i know how to do at least one problem, i... (answered by timmy1729)

how do you solve a two column proof that says the following: Given: segment AB is... (answered by solver91311)

How do you prove overlapping triangles congruent? Given: Segment AC is congruent to (answered by ikleyn)

segment BD is congruent to segment BE, and segment BC is congruent to segment BA, what... (answered by richard1234)

Can you help me with this �write a two-column proof� problem: Given : segment JK is... (answered by ikleyn)

how to solve this proof given: segment ab is congruent to segment cb, angle a is... (answered by richard1234)

"Write a two-column proof." Given: Segment DE is parallel to segment BC. Prove:... (answered by venugopalramana)

two-step proof with the given segment PR is congruent to segment DE and segment ST is... (answered by greenestamps,ikleyn)