document.write( "Question 984387: Sketch two noncongruent parallelograms ABCD and EFGH such that line AC is congruent to line BD, line BD is congruent to line EG and line EG is congruent to line FH. (I tried to draw a rectangle and a trapezoid but couldn't make these lines congruent. The lines that these question are referring to are diagonals. How can this be drawn? If the answer can't be drawn please describe the sketch. Thank you :) \n" ); document.write( "

Algebra.Com's Answer #821191 by katewalk11740(1) $\"\"$ $\"About$

You can put this solution on YOUR website!
The question does not specify what type of parallelogram you should draw, only that they 1) not be congruent and 2) have diagonals, that are all congruent to each other.
\n" ); document.write( "First, decide on a length of diagonal, say 4 cm. Draw this. Find the midpoint and draw a second diagonal also 4 cm long through the midpoint of the first. Then connect the outside endpoints and you have your first parallelogram.
\n" ); document.write( "Next, draw a 4 cm line and again find its midpoint. Now, using a different angle from the first parallelogram, make this diagonal so the two cross in a narrow fashion. When you connect the endpoints you will have a second narrow parallelogram.
\n" ); document.write( "The diagonals are all congruent, but the parallelograms are not congruent. \n" ); document.write( "

\n" );