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Is a quadrilateral with opposite sides congruent?
Only a parallelogram. You can technically say a square does as well, although all sides are congruent in a square (compared to the parallelogram with two sets of opposite sides 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.
Why a parallelogram does not a rhombus?
A rhombus is a quadrilateral that has four congruent sides. It makes a parallelogram. Not all parallelograms have 4 congruent sides. Some have two pairs of opposite sides congruent.
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram.?
Yes, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is indeed a parallelogram. This is one of the properties that define parallelograms: if a quadrilateral has two pairs of sides that are equal in length, it ensures that the opposite sides are parallel. Thus, the statement is true based on the properties of quadrilaterals.
What is a quadrilateral with opposite sides parallel and congruent and no right angle?
It is a rhombus or a parallelogram
What is the Parallelogram Opposite Sides Converse?
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
A quadrilateral with both pairs of opposite sides congruent?
A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
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 pair of opposite sides of a quadrilateral is parallel and then the quadrilateral is a parallelogram?
Then, the opposite sides are congruent.
What is the Opposite Sides Parallel and Congruent Theorem?
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?
always
If one pair of opposite sides of a quadrilateral is congruent then the quadrilateral is a parallelogram?
No. The congruent sides need not be parallel.
What quadrilateral has both pairs of opposite sides congruent?
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
If one pair of opposite sides of a quadrilateral is congruent when is the quadrilateral a parallelogram?
sometimes
One pair of opposite sides of a quadrilateral is and congruent then the quadrilateral is a parallelogram?
Parallel
If one pair of opposite sides of a quadrilateral are congruent then it is a parallelogram?
No, it is not.
If a quadrilateral is a parallelogram then its opposite sides are congruent?
Yes that is correct.
