# Is a parallelogram an equilateral?

## Is a parallelogram an equilateral?

An equilateral triangle is not a parallelogram because of the amount of sides and how the sides are positioned in relation to one another.

What is a perpendicular bisector of a parallelogram?

A parallelogram, the diagonals bisect each other. For a rhombus, where all the sides are equal, we’ve shown that not only do they bisect each other but they’re perpendicular bisectors of each other. Proof: The diagonals of a kite are perpendicular.

### What is the perpendicular bisector of an equilateral triangle?

Properties of Equilateral Triangle It is a regular polygon with three sides. The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves. Also the angle of the vertex from where the perpendicular is drawn is divided into two equal angles, i.e. 30 degrees each.

Are the diagonals of an equilateral quadrilateral perpendicular?

A quadrilateral with perpendicular diagonals that bisect each other is equilateral. If one diagonal of a quadrilateral is the perpendicular bisector of the other, then 2 pairs of adjacent sides are congruent. Opposite angles in an equilateral quadrilateral are congruent.

## Which parallelograms are equilateral?

An example of a special parallelogram that is both equiangular and equilateral is the square.

rhombus
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.

### What parallelogram has perpendicular diagonals?

a rhombus
‘If the diagonals of a parallelogram are perpendicular, then it is a rhombus.

Is median perpendicular in equilateral triangle?

A median may or may not be perpendicular to the side of the triangle. The intersection of the 3 medians is called a centroid. In the case of some triangles like the equilateral triangle, the median, and altitude are the same.

## How do you find a perpendicular equilateral triangle?

Derivation of the Equilateral Triangle Formula Also length of perpendicular i.e. h will be, h^2 = a^2 -(\frac{a}{2})^2, using Pythagorean theorem.

Is a parallelogram with perpendicular diagonals a square?

If the diagonals of a parallelogram are perpendicular, it must be a rhombus. Diagonals of a parallelogram bisect the angles. A quadrilateral that has diagonals that bisect and are perpendicular must be a square.