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Two pairs of parallel sides and all angles congruent?
Two different quadrilaterals have two pairs of parallel sides and have all their angles congruent. They are the square and the rectangle.
Are there two congruent angles in a rhombus?
two pairs of congruent angles in 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).
Which quadrilaterals have both pairs of opposite sides that are congruent?
A parallelogram if the two pairs are mutually congruent but all four sides are not. A rhombus if all four are.
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
What quadrilaterals have two pairs of consecutive angles supplementary and opposite angles are not congruent?
A trapezoid.
Two pairs of parallel sides and all angles congruent?
Two different quadrilaterals have two pairs of parallel sides and have all their angles congruent. They are the square and the rectangle.
Are all quadrilaterals with 4 pairs of corresponding angles congruent?
Yes, all quadrilaterals with four pairs of corresponding angles that are congruent are indeed congruent to each other. This is because if two quadrilaterals have all corresponding angles equal, they must also have equal interior angles, leading to a consistent shape and size. Therefore, they can be transformed into one another through rotation, reflection, or translation, confirming their congruence.
Are all quadrilaterals with 4 pairs of corresponding angles equal congruent?
Yes, all quadrilaterals with four pairs of corresponding angles equal are congruent. This is because if two quadrilaterals have equal corresponding angles, they can be transformed into one another through rotation, translation, or reflection, maintaining the same shape and size. This property is a consequence of the Angle-Angle (AA) similarity criterion, which implies congruence when applied to quadrilaterals.
If two quadrilaterals are congruent then there must be how many pairs of corresponding sides?
If two quadrilaterals are congruent, there must be four pairs of corresponding sides that are equal in length. Additionally, all four pairs of corresponding angles must also be equal. This congruence ensures that the two quadrilaterals are identical in shape and size, allowing for a perfect overlap when superimposed.
Kind of quadrilaterals?
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
What are different types of quadrilaterals?
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
What are five types of quadrilaterals?
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Name the differerent types of quadrilaterals?
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Name and describe the different quadrilaterals?
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
What is 2 pairs of parellel sides and 2 pairs of equal angles?
a rhombus
What has 2 pairs of congruent sides and 2 pairs of parellel sides?
a parallelogram, a rhombus, a rectangle, and a square.
