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What has 2 pairs of parallel sides and 2 pairs of equal angles?
any quadrilaterals
What is the name of the set of quadrilaterals with two pairs of right angles?
A rectangle or a square are sets of quadrilaterals with two pairs of right angles. They each have two pairs of right angles and two sets of equal sides.
Do all quadrilaterals have at least 1 pair of matching angles?
No, not all quadrilaterals have at least one pair of matching angles. While certain types of quadrilaterals, such as parallelograms, rectangles, and rhombuses, have pairs of equal angles, irregular quadrilaterals do not necessarily exhibit this property. In fact, it's possible to construct a quadrilateral with no pairs of equal angles at all. Therefore, the statement does not hold true for all quadrilaterals.
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.
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.
What quadrilaterals have 4 right angles and 2 pairs of equal sides?
A square, a rectangle, a rhombus, and a parallelogram
What is a name for a set of quadrilaterals with 2 pairs of right angles?
Rectangles have 2 pairs of right angles.
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.
What is the name of the quadrilaterals with 2 pairs of angles?
square
How are a rectangle and a square alike and different?
They are both quadrilaterals with all of whose interior angles are right angles. A square has four equal sides, a rectangle has two pairs of equal sides.
What quadrilaterals have two pairs of consecutive angles supplementary and opposite angles are not congruent?
A trapezoid.
Why is a square a rhombus but a rhombus is not a square?
Both are quadrilaterals with all sides of equal length. All four vertices of a square must be right angles whereas a rhombus has two pairs of equal angles.
