0
Given quadrilateral ABCD with diagonals AC and BD angle 1 is congruent to angle 2 and segment BD bisects segment AC at A prove ABCD is a parallelogram Can someone help me prove this?
OliviaSchuckgp1579
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Is it true if the diagonals of a quadrilateral bisects each other then the quaderateral is a parrallelogram?
Yes and the diagonals are not equal in length
Does a parallelogram have adjacent sides equal?
A parallelogram has adjacent equal sides. Diagonals of a parallelogram bisect each other,Opposite sides of a parallelogram are parallel and will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. Any line through the midpoint of a parallelogram bisects the area.
Do kite diagonals bisect the angles?
No - only one of the diagonals bisects the angles of the shape.
What can you find about diagonals of a kite?
They are unequal in length but one of the bisects the other at right angles.
The diagonals of a kite are?
Perpendicular and the one for which each endpoint touches only sides of equal length bisects the other.
What bisects each other to make a quadlilateral a parallelogram?
It's diagonals, and opposite sides must be parallel and congruent.
Show that if diagonals of a quadrilateral bisects each other then it is a rhombus?
This cannot be proven, because it is not generally true. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. And conversely, the diagonals of any parallelogram bisect each other. However not every parallelogram is a rhombus.However, if the diagonals are perpendicular bisectors, then we have a rhombus.Consider quadrilateral ABCD, with diagonals intersecting at X, whereAC and BD are perpendicular;AX=XC;BX=XD.Then angles AXB, BXC, CXD, DXA are all right angles and are congruent.By the ASA theorem, triangles AXB, BXC, CXD and DXA are all congruent.This means that AB=BC=CD=DA.Since the sides of the quadrilateral ABCD are congruent, it is a rhombus.
What is a description of a parallelogram?
A parallelogram is a quadrilateral (4-sided figure) with both pairs of opposite sides parallel. That's usually the primary definition. There are properties common to all parallelograms: opposite sides are congruent, opposite angles are congruent, and diagonals bisect each other. Other special parallelograms have additional properties. A rectangle is a parallelogram with four right angles and its diagonals are congruent. A rhombus is a parallelogram with four congruent sides. Its diagonals are perpendicular and each diagonal bisects two angles of the rhombus. A square is a parallelogram as well. It has four right angles and four congruent sides, so it is also a rectangle and a rhombus. How's that for confusing???
If one diagonal of a quadrilateral bisects the other when is the quadrilateral a parallelogram?
In this case, the quadrilateral is sometimes a parallelogram.
Do the diagonals of quadrilateral perpendiculary bisects each other?
Not necessarily.
If one diagonal of quadrilateral bisects the other then the quadrilateral is a parallelogram?
No. It could be a kite.
What shape has diagonals that are perpendicular?
The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.
If one diagonal of a quadrilateral bisects the other then the quadrilateral isa parallelogram?
not necessarily. because the diagonals of a trapezium also bisect each other and it is not a parallelogram. in order for the quadrilateral to become a parallelogram, the opposite angles of it must be equal, and the opposite sides must be equal too. the angles formed by the two diagonals( four in number) also must be equal if they are opposite angles not alternating angles.that's it pal
Is it true if the diagonals of a quadrilateral bisects each other then the quaderateral is a parrallelogram?
Yes and the diagonals are not equal in length
Which quadrilaterals have diagonals that bisects each other?
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
Does a parallelogram have adjacent sides equal?
A parallelogram has adjacent equal sides. Diagonals of a parallelogram bisect each other,Opposite sides of a parallelogram are parallel and will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. Any line through the midpoint of a parallelogram bisects the area.
Does diagonals of a rhombus bisect?
yes it bisects.
