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If one side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
true
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 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.
If each side of a quadrilateral is congruent to it's opposite side then the quadrilateral is a rectangle?
It could also be a square or a rhombus.
What quadrilateral has no congruent sides no congruent angles has a congruent opposite side and has congruent consecutive sides?
The question is self-contradictory.
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
true
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.
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 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 quadrilateral whose opposite side are parallel?
parallelogram
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.
If each side of a quadrilateral is congruent to it's opposite side then the quadrilateral is a rectangle?
It could also be a square or a rhombus.
What quadrilateral has no congruent sides no congruent angles has a congruent opposite side and has congruent consecutive sides?
The question is self-contradictory.
What has one opposite side congruent and parallel?
It cannot be a quadrilateral because if one pair of opposite sides are congruent and parallel, it is a parallelogram and so the other two sides are also (mutually) congruent and parallel. Any polygon with 5 or more sides will have an irregular form which satisfies these conditions.
What quadrilateral is parallel to its opposite side and the diagonals are not perpendicular?
Parallelogram and rectangle apex
What does any side of a parallelogram have?
A parallelogram is a 4 sided quadrilateral and has 2 pairs of opposite parallel sides
