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If one pair of adjacent sides of a parallelogram is congruent then the parallelogram must be a?
Wiki User
∙ 11y ago
Rhombus.
Wiki User
∙ 11y ago
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The diagonals of a parallelogram must be what?
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
What shape has 2 sides that measure 25 feet each and 2 sides that measure 10 feet each?
It is an irregular quadrilateral if the 2 long sides are adjacent, and a parallelogram if the two long sides are not adjacent, because having two sets of opposite sides of equal length must form parallels. Only if all of the angles are right angles would it be a rectangle.
What is a triangle with all acute angles and exactly two congruent sides?
By Definition, a triangle with two Congruent Sides is an Isosceles Triangle. For ALL angles to be Acute, that is, LESS than 90o , the two opposite angles must be greater than 45o. Remember that the SUM of the angles in a Triangle must equal 180o.
To use the HL Theorem to prove two triangles are congruent the triangles must be right triangles. Which other conditions must also be met?
The two legs must be corresponding sides.
Vertical angles must have?
have the same vertex. be congruent.
If PQRS is a parallelogram with two adjacent congruent sides then .?
It must be a rhombus
What shape has 2 pairs of congruent sides with those sides being non-adjacent and the angles are not all congruent?
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).
If a quadrilateral has four congruent sides but its adjacent angles are not congruent then the quadrilateral is a?
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
Are opposite angles of a parallelogram congruent for all parallelograms?
angles diagnal from each other in a parallelogram are congruent for shape be parallelogram, all sides must be parallel
What quadrilaterals must have opposite sides that are congruent opposite angles that are congruent and adjacent angles that are congruent?
square and a rectangle
A parallelogram with four congruent sides and no right angles must be a?
square or a rhombus
What is are the relationships between parallelograms?
A parallelogram has two sets of parallel sides. Opposite sides of a parallelogram are congruent. This means that opposite angles are congruent as well. All parallelograms must fit this description or else it's not a parallelogram.
Do all four sides of a parallelogram must be parallel?
There are 2 pairs of parallel sides in a parallelogram. Each pair of opposite sides are parallel. Adjacent sides are not parallel (they intersect).
Is a parallelogram a congruent side shape?
I'm not sure what a "congruent side shape" means. Every parallelogram must have two pair of congruent sides. That means two sides have equal length, and the other two sides also have equal length, but the two lengths don't have to be the same.
Is a parallelogram are always rhombus?
No. A rhombus is a special case when all four sides are of the same length. A parallelogram must have opposite sides of equal length but adjacent sides can be of different length.
Why aren't parallelograms rectangle?
Adjacent sides of a parallelogram nee not meet at right angles. In a rectangle they must.
What bisects each other to make a quadlilateral a parallelogram?
It's diagonals, and opposite sides must be parallel and congruent.
