What is the difference between an equiangular polygon, an …
2016年1月26日 · See explanation. An equiangular polygon is a polygon in which all angles are equal. An equilateral polygon is a polygon with equal sides. If both sides and angles are equal then the polygon is called regular. If we look at quadrilaterals, then we can say, that: A rectangle (not being a square) is equiangular (4 right angles) A rhombus (not being a square) is equilateral (4 equal sides, unequal ...
Why are equilateral triangles equiangular? + Example - Socratic
2015年11月24日 · As another example, the sides opposite the base angles of an isosceles triangle have sides that are equal because the base angles are equal . Finally, if all the sides of the triangle are equal, then the angles opposite those sides must also be equal. This is a equilateral or equiangular triangle! We can prove this using the law of cosines with ...
Why is a rhombus not necessarily a regular polygon? | Socratic
2015年11月6日 · A rhombus does not have to be equiangular. A regular polygon must be equilateral (all sides the same length) and equiangular (all internal angle sof the same size). A rhombus has 4 sides of equal length and opposite angles are equal but not all angles are equal. A rhombus may be shaped like a diamond. A rhombus that is equiangular is called a square.
Is a rhombus a regular polygon? - Socratic
2016年3月20日 · A rhombus is not a regular polygon. A regular polygon must be both equiangular (all angle measures are the same) and equilateral (all side lengths are the same). A rhombus meets one of the requirements: it is equilateral. But, all of a rhombus's angles are not the same. It is not equiangular, so it is not a regular polygon. Take the rhombus below. The hash marks tell us that all of its sides ...
Why is square a regular polygon? + Example - Socratic
2016年3月20日 · A square is equilateral and equiangular. A regular polygon is both equilateral (all sides are the same length) and equiangular (all angles are the same measure). A square perfectly matches this description. A square's four sides must all be the same length and a square must have four angles measuring 90˚ by definition. For example, take the picture below. This square has four angles measuring ...
When is a rhombus a regular polygon? - Socratic
2016年3月20日 · A rhombus by definition has two opposite sets of equal angles. It can never, therefore, be equiangular. All of its angles cannot be the same or it would be a square, not a rhombus. A rhombus can never be a regular polygon because it is not equiangular. Answer link. A rhombus is never a regular polygon. A regular polygon must be equilateral (all ...
Can an equilateral triangle also be isosceles? - Socratic
2018年6月4日 · An equilateral triangle can be an isosceles triangle IF one of the sides has a different length than the rest and the angle measurement is different. Yes; in fact an equilateral triangle must be isosceles. The definition of an isosceles triangle is that two of its sides have equal lengths; the case where all three sides have equal lengths is ...
What is a regular polygon? + Example - Socratic
2015年12月27日 · A regular polygon is a polygon all of whose sides are of the same length (equilateral) and all of whose internal angles are the same (equiangular). An n-sided regular polygon is rotationally symmetric around its centre. Both equilateral and equiangular conditions are required. For example a rhombus is equilateral and a rectangle is equiangular, but the only regular quadrilateral is a square.
Are all equilateral triangles also isosceles triangles?
2016年1月27日 · By definition an isosceles triangle has at least two sides of the triangle of equal measure and the two base angles are equal in degree measure. Therefore an equilateral triangle is also an isosceles triangle. Yes Isosceles = at least TWO sides of equal length. Equilateral = ALL THREE sides of equal length.
Why are all equilateral triangles acute? - Socratic
Nov 30, 2015. All the angles are 60o. Explanation: In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180o. We can determine the angles by dividing 180 by 3 (the three angles) to get 60. Therefore we can determine that each angle is 60o. All acute angles are below 90o. Answer link.