A square would fit the given description
A rhombus is any equilateral ( all four sides congruent) quadrilateral. If it has right angle for the vertices then it is a rectangle called a square.
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
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.
Yes, all equilateral quadrilaterals are equiangular. An equilateral quadrilateral has all four sides of equal length, which means that the angles opposite these sides must also be equal to maintain the shape. Therefore, in an equilateral quadrilateral, the angles are not only equal, but they also sum up to 360 degrees, confirming that it is equiangular as well. However, the reverse is not necessarily true; an equiangular quadrilateral does not have to be equilateral.
3(All triangles have 3 vertices)
A rhombus is any equilateral ( all four sides congruent) quadrilateral. If it has right angle for the vertices then it is a rectangle called a square.
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
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.
Yes, all equilateral quadrilaterals are equiangular. An equilateral quadrilateral has all four sides of equal length, which means that the angles opposite these sides must also be equal to maintain the shape. Therefore, in an equilateral quadrilateral, the angles are not only equal, but they also sum up to 360 degrees, confirming that it is equiangular as well. However, the reverse is not necessarily true; an equiangular quadrilateral does not have to be equilateral.
All triangles have 3 sides and 3 vertices.
false
3(All triangles have 3 vertices)
A quadrilateral has 4 sides. It has no vertices as a quadrilateral is a two dimensional shape. * * * * * A vertex is a point where two or more lines (edges) meet. There is no requirement for the figure to be three dimensional. So the correct answer is that is has 4 vertices.
"Square" says it all. A square is an equilateral quadrilateral with each of the inside angles (vertices) equal to 90 degrees...it doesn't need to be described further.
In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal angles. : Any equilateral quadrilateral is a rhombus, which includes the square. : An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon. Not all equilateral polygons are convex: all equilateral polygons with more than four sides, such as the pentagon, can be concave. Viviani's theorem holds for equiangular polygons (and also holds for equilateral ones): : The sum of distances from a point to the side lines of an equiangular [or equilateral] polygon does not depend on the point and is that polygon's invariant.
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).
Equilateral means all of the sides are equal and quadrilateral means four sided. This must be a parallelogram; in fact a special case of a parallelogram. If one angle is right then they all must be, and the figure is a square. Otherwise it is a rhombus.