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Conditions which guarantee that a quadrilateral is a parallelogram?
Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.
What is the Rectangle Diagonals Conjecture?
The diagonals of a rectangle are congruent and they bisect each other.
Do the diagonals of a parallelogram bisect each other?
Yes, they do. Also, they are congruent to each other. * * * * * They do bisect each other but they are not congruent.
What shape has 2 congruent diagonals that do not bisect?
A trapezoid Trapezoid - 2 congruent diagonals that do not bisect each other. No right angles and has 1 pair of opposite parallel sides.
In which quadrilateral are the diagonals always congruent?
The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.
What is an example of a quadrilateral with diagonals that are congruent but do not bisect each other?
trapezoid
If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?
diagonals.
What quadrilateral has diagonals a are congruent perpendicular and bisect each other?
square
What type of quadrilateral has congruent diagonals that do not bisect each other?
a trapezoid
What quadrilateral could have diagonals that are congruent but do not bisect each other?
i think its a trapezoid...
Is a quadrilateral with congruent and perpendicular diagonals a square or a rhombus?
It could be a square, but consider the following congruent & perpendicular 'diagonals of a quadrilateral (you will have to connect the endpoints of the diagonals, yourself, as it cannot be drawn in text): . _|___ . | . | . | If the two diagonals, also bisect each other, then it's a square, otherwise it is not.
What is an example of a quadralateral whose diagonals are congruent and bisect each other?
parellelogram
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a?
True
The diagonals are congruent and bisect each other in which type of quadrilateral?
A rectangle. Note: a square is a regular rectangle where all sides are equal; in this case not only are the diagonals equal and bisect each other, they also bisect perpendicularly, that is at 90o to each other.
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.?
True
Conditions which guarantee that a quadrilateral is a parallelogram?
Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.
What is the Rectangle Diagonals Conjecture?
The diagonals of a rectangle are congruent and they bisect each other.
