For which of the following diagonals bisect each other?

Answer : In a square the diagonals bisect each other because both the opposite side pairs of a square are parallel.

What property is diagonals bisect each other?

Properties of a parallelogram

Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.

Is diagonals of square bisect each other?

The diagonals of a square bisect one another and are perpendicular (illustrated in red in the figure above). In addition, they bisect each pair of opposite angles (illustrated in blue).

Do diagonals bisect each other in a rectangle?

A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.

Do diagonals bisect in a rhombus?

Since a rhombus is a parallelogram, opposite angles are congruent. One property unique to rhombi is that in any rhombus, the diagonals will bisect the interior angles. The diagonals of a rhombus bisect the interior angles.

Proof: Diagonals of a parallelogram bisect each other | Quadrilaterals | Geometry | Khan Academy

Do the diagonals bisect each other in a parallelogram?

That is, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Theorem: The diagonals of a parallelogram bisect each other.

Do diagonals of a trapezoid bisect each other?

Like an isosceles triangle, isosceles trapezoids have base angles that are congruent. This means that the two smaller angles are congruent to each other, and the two larger angles are congruent to each other. When diagonals are drawn, the still do not bisect each other.

Does diagonals of rhombus bisect at 90?

In any rhombus, the diagonals (lines linking opposite corners) bisect each other at right angles (90°). That is, each diagonal cuts the other into two equal parts, and the angle where they cross is always 90 degrees.

Do diagonals of a square bisect each other at 90?

Given: The quadrilateral is a square. To prove: Diagonals of a square are equal and bisect each other at right angles.

Does diagonals of square bisect at 90?

Hence, the diagonals of a square are equal in length. Hence, the diagonals of a square bisect each other. Hence, the diagonals of a square bisect each other at right angles.