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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
What quadrilateral can have diagonals that are congruent but do not bisect each other?
A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.
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
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?
True
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.
