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.
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Prove that if all the sides of a convex quadrilateral are congruent, then the two pairs of opposite angles are congruent.
Thank
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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.
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