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.
draw a quadrilateral that has no parallel sides no congruent sides and no right angle
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.
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
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.
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.
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.
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 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.
Any quadrilateral other than a square or kite could have diagonals meeting at 30 degrees.
a square or a rectangle