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If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a rectangle?
No you could have Square, Rectangle, Rhombus, Parallelogram
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
true
If one side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
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.
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a rectangle?
No you could have Square, Rectangle, Rhombus, Parallelogram
If each side of a quadrilateral is congruent ti ts opposite side then the quadrilateral is a parallelogram?
Yes Note: A square, rectangle and rhombus are special cases of parallelograms.
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
true
What quadrilateral have diagnols that are congruent and bisect each other?
Any rectangle.
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.
If one side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
What is a quadrilateral with opposite sides and parallel each pair of opposite sides and angles are congruent?
rhombus
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 each side parallel to its opposite side and with diagnoals that are not perpendicular?
A rectangle
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a rectangel?
Not necessarily; it is a parallelogram - a rectangle is a parallelogram in which all angles are 90o. It could also be a rhombus - a rhombus is a parallelogram with all lengths the same; a square is a rhombus in which all angles are 90o.
What is the definition of parallelogram?
A parallelogram can be considered as a slanted rectangle. More precisely, a parallelogram is a quadrilateral where each pair of opposite side is parallel.A parallelogram can be considered as a slanted rectangle. More precisely, a parallelogram is a quadrilateral where each pair of opposite side is parallel.A parallelogram can be considered as a slanted rectangle. More precisely, a parallelogram is a quadrilateral where each pair of opposite side is parallel.A parallelogram can be considered as a slanted rectangle. More precisely, a parallelogram is a quadrilateral where each pair of opposite side is parallel.
