SOLUTION: Could you please help me solve this problem? Prove that if all the sides of a convex quadrilateral are congruent, then the two pairs of opposite angles are congruent. Thank

Question 448087: Could you please help me solve this problem?
Prove that if all the sides of a convex quadrilateral are congruent, then the two pairs of opposite angles are congruent.
Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: A drawing really helps. Once you've drawn a general quadrilateral with four congruent sides (ie a rhombus), divide the quadrilateral in half by drawing a line segment from one vertex to its opposite vertex. This will create two triangles. Now use the congruences to prove that the opposite angles are congruent as well. When you are done, redraw the same quadrilateral but divide in half through the other vertices.
RELATED QUESTIONS
Please help me with this problem! "Draw a diagram, provide the given and conclusion,... (answered by richwmiller)

Can you prove if the quadrilateral is a parallelogram then opposite sides of a... (answered by venugopalramana)

Prove that if both pairs of opposite sides of a quadrilateral are congruent, then the... (answered by ikleyn)

Prove that if two sides of a quadrilateral are parallel and congruent, then the... (answered by ikleyn)

Write a proof argument for part (b) of the sufficient conditions for a parallelogram... (answered by scott8148)

If all four sides of a quadrilateral are congruent, then the quadrilateral is a... (answered by solver91311)

Can you please help me with this proof? Thanks. Prove: If both pairs of opposite... (answered by solver91311)

How do you prove the following theorem. If both pairs of an opposite sides of a... (answered by MathLover1)

Can you please help me! Prove: If both pairs of opposite angles of a quadrilateral are (answered by solver91311)