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The opposite sides of a parallelogram are congruent?
Yes, the opposite sides of a parallelogram are congruent.
What is a parallelogram with 2 congruent sides and two congruent angles?
A parallelogram cannot have only two congruent sides, nor only two congruent angles.
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle?
true.
Is Opposite sides congruent one of the properties of a parallelogram?
A parallelogram is a quadrelateral with opposite sides parallel and congruent.
In a parallelogram a diagonal separates the parallelogram into?
two congruent triangles
What is a Parallelogram with all congruent sides and perpendicular bisectors?
a square.
What type of parallelogram always has diagonals that are congruent and are perpendicular bisectors of each other?
square
What is the ways to prove that a quadrilateral is a parallelogram?
If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
What are four attributes of a rhombus?
1. Opposite angles congruent 2. All sides are congruent 3. The diagonals are perpendicular bisectors of each other 4. Diagonals bisect the angles NOTE: Four congruent right triangles are formed with the right angles It has all of the properties of a parallelogram and a kite
If the diagonals of a parallelogram are perpendicular but not congruent then it is?
A rhombus would fit the given description.
Name the best classification for a parallelogram with perpendicular diagonals?
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
What is a quadrilateral with two pairs of parallel lines?
It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular
Are diagonals congruent if they bisect each other?
Not necessarily - the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.
Is a parallelogram congruent?
yes a parallelogram is congruent
Is a square a parallelogram with diagonals congruent and perpendicular?
Yes, a square is a special type of parallelogram. By definition, a parallelogram has opposite sides that are equal and parallel, and in a square, all four sides are equal. Additionally, a square has diagonals that are both congruent (equal in length) and perpendicular (intersecting at right angles), which further distinguishes it from other types of parallelograms.
The perpendicular bisectors of a triangle are lines or segments that intersect the sides at right angles and divide each of them into two parts of length?
Congruent (APEX) :P
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.
