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Which quadrilateral is equilateral but not always equiangular?
The rhombus has adjacent angles being the same, and all sides are equal. However, it is not necessarily equiangular.
Draw equiangular quadrilateral that is not equilateral?
A rectangle comes to mind. A rectangle is equiangular (all angles the same) and is also a quadrilateral (four-sided), but is not equilateral (all sides of the same length).
How can you explain why a square is a regular quadrilateral?
A square has four sides so it is a quadrilateral. All sides of a square are of equal length so it is equilateral. All angles of a square are of equal measure so it is equiangular. A quadrilateral that is equilateral and equiangular is a regular quadrilateral.
What is an equilateral equiangular quadrilateral called?
It is called a square. The clues: equilateral means all sides are of equal length; equiangular means all angles are of the same degrees; quadrilateral means the shape has four sides. The only shape that qualifies is a rectangle [includes squares.]
Is a hypotenuse equal to the sides of an equalateral triangle?
Yes. The equilateral triangle will have all sides with the same length. An equilateral triangle will ALSO be a equiangular, with each angle being 60 degrees. This fact does not extend to other polygons. An equilateral quadrilateral is a rhombus, while an equiangular quadrilateral is a square.
What does equiangular mean?
Equiangular means "having equal angles" or "with all angles equal" or the like. An equilateral triangle (a triangle having all 3 sides the same length) is equiangular. Each of it's interior angles is 60 degrees. A quadrilateral (a 4-sided figure) that is equiangular would have to have each of its interior angles equal to 90 degrees, and the quadrilateral would then have to be a rectangle.
When is an equilateral triangle not equiangular?
If a triangle is equiangular, it will have all equal angles. So, it might be similar to another equiangular triangle, but not congruent. It is not equilateral if the sides are not equal in length. All equiangular triangles are similar, but not all of them are congruent, which means they do not all have corresponding side lengths. But, all equilateral triangles are equiangular.
What is the difference beteween a equiangular polygon and a regular polygon?
The Equiangular polygon is a classification of polygon which has equal measures of angles. Unlike the regular polygon, in which the measures of the angles are equal and the measures of the sides are equal. For example, look at quadrilaterals (i.e. polygons with 4 sides and 4 angles). A regular quadrilateral is a square; an equiangular quadrilateral is a rectangle. Not all rectangles are squares (although all squares are rectangles).
How are rectangels and quadrangles similar?
Arectangle is a quadrilateral that is equiangular. In other words all of its angles are the same measure.
Draw equiangular quadrilateral that is not regular?
An equiangular quadrilateral is a four-sided figure with all angles equal. To draw an equiangular quadrilateral that is not regular, you would need to create a shape where all four angles are equal but the side lengths are not necessarily equal. One way to do this is to draw a square and then elongate one pair of opposite sides while keeping all angles at 90 degrees. This will result in a shape that has equal angles but different side lengths, making it an equiangular quadrilateral that is not regular.
Can a equiangular triangle can be a scalene?
No, it cant. In order to be equiangular, a triangle also has to be equilateral. Equilateral means all three sides are the same, while scalene means none of the three sides are the same.
What does equilateral and equiangular mean?
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.
