Yes
a rectangle yo mama
A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.
The converse of the rectangle diagonal conjecture states that if the diagonals of a quadrilateral are equal in length, then the quadrilateral is a rectangle, which implies that its corners are right angles. To test if the corners of a quadrilateral are right angles, measure the lengths of the diagonals. If the diagonals are equal, you can conclude that the corners are right angles, confirming that the shape is a rectangle.
draw a quadrilateral that has no parallel sides no congruent sides and no right angle
No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.
a rectangle yo mama
A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
rectangle
Its diagonals divides it into two equal right angle triangles.
The converse of the rectangle diagonal conjecture states that if the diagonals of a quadrilateral are equal in length, then the quadrilateral is a rectangle, which implies that its corners are right angles. To test if the corners of a quadrilateral are right angles, measure the lengths of the diagonals. If the diagonals are equal, you can conclude that the corners are right angles, confirming that the shape is a rectangle.
draw a quadrilateral that has no parallel sides no congruent sides and no right angle
Yes (or its special case, a square).
No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.
Converse: If the diagonals of a quadrilateral are congruent and bisect each other, then the quadrilateral is a rectangle. Given: Quadrilateral ABCD with diagonals , . and _ bisect each other Show: ABCD is a rectangle Because the diagonals are congruent and bisect each other, . Using the Vertical Angles Theorem, AEB CED and BEC DEA. So ∆AEB ∆CED and ∆AED ∆CEB by SAS. Using the Isosceles Triangle Theorem and CPCTC, 1 2 5 6, and 3 4 7 8. By the Angle Addition Postulate each angle of the quadrilateral is the sum of two angles, one from each set. For example, mDAB = m1 + m8. By the addition property of equality, m1 m8 m2 m3 m5 m4 m6 m7. So by substitution mDAB mABC mBCD mCDA. Therefore the quadrilateral is equiangular. Using 1 5 and the Converse of AIA, . Using 3 7 and the Converse of AIA, . Therefore ABCD is an equiangular parallelogram, so it is a rectangle by definition of rectangle.
A rhombus is any equilateral ( all four sides congruent) quadrilateral. If it has right angle for the vertices then it is a rectangle called a square.
A rectangle is not an angle (of any kind). It is a kind of quadrilateral.A rectangle is not an angle (of any kind). It is a kind of quadrilateral.A rectangle is not an angle (of any kind). It is a kind of quadrilateral.A rectangle is not an angle (of any kind). It is a kind of quadrilateral.