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If each side of a quadrilateral is congruent ti ts opposite side then the quadrilateral is a parallelogram?
Wiki User
∙ 13y ago
Yes
Note: A square, rectangle and rhombus are special cases of parallelograms.
Wiki User
∙ 13y ago
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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.
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.
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 one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?
draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.
What are the proofs that a quadrilateral ia s parallelogram?
There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other
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.
How many congruent triangles make a parallelogram?
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
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.
What is the shape of parallelogram?
A parallelogram is a 4 sided quadrilateral and its opposite sides are parallel to each other.
What is a description of a parallelogram?
A parallelogram is a quadrilateral (4-sided figure) with both pairs of opposite sides parallel. That's usually the primary definition. There are properties common to all parallelograms: opposite sides are congruent, opposite angles are congruent, and diagonals bisect each other. Other special parallelograms have additional properties. A rectangle is a parallelogram with four right angles and its diagonals are congruent. A rhombus is a parallelogram with four congruent sides. Its diagonals are perpendicular and each diagonal bisects two angles of the rhombus. A square is a parallelogram as well. It has four right angles and four congruent sides, so it is also a rectangle and a rhombus. How's that for confusing???
