## What shapes have diagonals that bisect?

Quadrilaterals

A | B |
---|---|

in these quadrilaterals, the diagonals bisect each other | paralellogram, rectangle, rhombus, square |

in these quadrilaterals, the diagonals are congruent | rectangle, square, isosceles trapezoid |

in these quadrilaterals, each of the diagonals bisects a pair of opposite angles | rhombus, square |

## What are diagonals bisect?

In any parallelogram, the diagonals (lines linking opposite corners) bisect each other. That is, each diagonal cuts the other into two equal parts.

**What shapes have diagonals bisect opposite angles?**

If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

**Do parallelograms have bisecting diagonals?**

Theorem: The diagonals of a parallelogram bisect each other.

### Do diagonals bisect each other in a kite?

The diagonals of a kite bisect each other.

### Is the diagonal of a rhombus and angle bisector?

Diagonals as Angle Bisectors 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.

**Do rhombus diagonals bisect angles?**

The rhombus has the following properties: The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.

**Do the diagonals of a kite bisect the angles?**

Yes, a kite has 90° angles at the point of intersection of the two diagonals. In other words, the diagonals of a kite bisect each other at right angles.

#### Do rhombus diagonals bisect opposite angles?

#### Do diagonals bisect in a rhombus?

A rhombus thus has all the properties of a parallelogram: Its opposite sides are parallel. Its opposite angles are equal. Its diagonals bisect each other.

**Do diagonals bisect angles in a kite?**

**Do the diagonals of a rhombus bisect?**

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.

## 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.

## Do diagonals bisect angles in a rectangle?

Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

**Do parallelograms bisect angles?**

The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

**Do rhombus diagonals bisect?**

The opposite angles of a rhombus are equal. The diagonals of a rhombus bisect each vertex angle. The diagonals of a rhombus bisect each other at right angles.

### Do rectangle diagonals bisect angles?

The diagonals of a rectangle bisect each other and are equal. Since a rectangle is a quadrilateral, all the angles are right angles. A rectangle is also a parallelogram where the opposite sides are equal.

### Do diagonals of a kite bisect each other?

**Does the diagonal of a kite bisect the angle?**

**Do trapezoid diagonals bisect each other?**

Let a trapezoid have diagonals bisect each other. If that’s the case, then the trapezoid is also parallelogram because any quadrilateral that has diagonals that bisect each other is a parallelogram. But a parallelogram has two pairs of opposite, parallel sides.