SOLUTION: A student in your class says that a rhombus is regular because all the sides are congruent. Is this statement true or false? Then explain your reasoning and how would you explain w

Algebra ->  Polygons -> SOLUTION: A student in your class says that a rhombus is regular because all the sides are congruent. Is this statement true or false? Then explain your reasoning and how would you explain w      Log On


   

Question 630557: A student in your class says that a rhombus is regular because all the sides are congruent. Is this statement true or false? Then explain your reasoning and how would you explain whether this statement is true or false to the whole class.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
A regular polygon is one that has not only all sides the same measure,
but all the interior angles the same measure as well.  The 4 sides of a
rhombus all have the same measure; but it is not necessary that the 4
interior angles have the same measure.  So in general a rhombus cannot
be said to be regular.  However if the rhombus happens to be a square
then all its interior angles are right angles and in that case, the
square, which is a rhombus, will be regular:


On the left is an ordinary rhombus, It is not
a regular quadrilateral. On the right is a square, which is a rhombus,
and a square is a regular quadrilateral.  

Edwin