Regular shapes again! A square is a regular polygon because it has four equal sides and four equal angles BUT?
when you consider a square as a quadrilateral it is ONE of MANY regular quadrilaterals.
These regular quadrilaterals include a parallelogram with two different lengths of side and two differently sized angles.
Is a square a regular polygon AND a regular quadrilateral
when a parallelogram is a regular quadrilateral but NOT a regular polygon?
I messed this question up earlier as I didn't realise the question mark is automatically added to the top line!
Answers:
You are just getting tied up in the definiton of the term "regular". Apparently you have a different definition for "regular" regarding quadrilaterals.
When I googled "regular quadrilateral" I got mulitple references saying that a square was the only regular quadrilateral. In polygons regular means all sides and interior angles are equal. The definition I found is consistent for quadrilaterals, i.e., a four sided polygon where all sides and interior angles are equal.
its saturday night, so lets keep things simple, my head hurts, so..
take it from me, "its a fcking square.!"
Yup!
a regular shape, whether it is a polygon or a quadrilateral, is something that has a set formula. that includes all squares.
A square is a regular polygon AND a regular quadrilateral
A square is NOT a parllelogram!
it may be a TETRAGON
A square is the only regular quadrilateral. For a polygon to be regular, ALL its sides and ALL its angles must be equal.
A rectangle has 4 equal angles, but not 4 equal sides.
A rhombus has four equal sides but not four equal angles.
A parallelogram has only 2 sets of 2 equal sides, and is therefore irregular.
A parallelagram withunequal sides & unequal angles IS NOT a regular quadrilateral.
To be regular, by definition, all sides must be equal & all angles must be equal.
Parallelagrams are SPECIAL quadrillaterals, not regular 1's.
A regular polygon is one whose sides are of equal length and whose interior (and hence exterior) angles are equal.
A quadrilateral is any four sided shape. The sides don't have to be the same lengtht and the interior angles don't have to be the same but if they are the shape is still a quadrilateral
A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. Its opposite interior angles are equal.
Adjacent sides and adjacent inerior angles don't have to be the same but if they are the shape is still a parallelogram.
Hence a square is a quadrilateral, a paralleogram and a regular polygon
For a polygon of any number of sides to be regular, it must have equal sides AND angles.
A quadrilateral (or other polygon) can have all its sides of equal length but is not regular unless all the angles are also equal.
A shape which as all its sides the same length is not (necessarily!) regular, but is EQUILATERAL.
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These regular quadrilaterals include a parallelogram with two different lengths of side and two differently sized angles.
Is a square a regular polygon AND a regular quadrilateral
when a parallelogram is a regular quadrilateral but NOT a regular polygon?
I messed this question up earlier as I didn't realise the question mark is automatically added to the top line!
Answers:
You are just getting tied up in the definiton of the term "regular". Apparently you have a different definition for "regular" regarding quadrilaterals.
When I googled "regular quadrilateral" I got mulitple references saying that a square was the only regular quadrilateral. In polygons regular means all sides and interior angles are equal. The definition I found is consistent for quadrilaterals, i.e., a four sided polygon where all sides and interior angles are equal.
its saturday night, so lets keep things simple, my head hurts, so..
take it from me, "its a fcking square.!"
Yup!
a regular shape, whether it is a polygon or a quadrilateral, is something that has a set formula. that includes all squares.
A square is a regular polygon AND a regular quadrilateral
A square is NOT a parllelogram!
it may be a TETRAGON
A square is the only regular quadrilateral. For a polygon to be regular, ALL its sides and ALL its angles must be equal.
A rectangle has 4 equal angles, but not 4 equal sides.
A rhombus has four equal sides but not four equal angles.
A parallelogram has only 2 sets of 2 equal sides, and is therefore irregular.
A parallelagram withunequal sides & unequal angles IS NOT a regular quadrilateral.
To be regular, by definition, all sides must be equal & all angles must be equal.
Parallelagrams are SPECIAL quadrillaterals, not regular 1's.
A regular polygon is one whose sides are of equal length and whose interior (and hence exterior) angles are equal.
A quadrilateral is any four sided shape. The sides don't have to be the same lengtht and the interior angles don't have to be the same but if they are the shape is still a quadrilateral
A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. Its opposite interior angles are equal.
Adjacent sides and adjacent inerior angles don't have to be the same but if they are the shape is still a parallelogram.
Hence a square is a quadrilateral, a paralleogram and a regular polygon
For a polygon of any number of sides to be regular, it must have equal sides AND angles.
A quadrilateral (or other polygon) can have all its sides of equal length but is not regular unless all the angles are also equal.
A shape which as all its sides the same length is not (necessarily!) regular, but is EQUILATERAL.
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