answersLogoWhite

0


Best Answer

Yes

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is a quadrilateral with at least one right angle and congruent diagonals a rectangle?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What type of quadrilateral always has a right angle and congruent diagonals?

a rectangle yo mama


Which quadrilateral must have diagonals that are congruent and perpendicular?

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.


What quadrilateral has 2 pairs of congruent sides and 4 right angle?

rectangle


How do you decompose a rectangle into congruent triangles?

Its diagonals divides it into two equal right angle triangles.


Can you draw A rectangle that is not a square?

draw a quadrilateral that has no parallel sides no congruent sides and no right angle


If a quadrilateral has opposite sides congruent and one right angle then is it a rectangle?

Yes (or its special case, a square).


Is a rombes a 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.


Is the converse of the rectangle diagonals conjecture true?

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.


Why is a rectangle a special angle?

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.


What quadrilateral do form diagonals a 30 angle?

Any quadrilateral other than a square or kite could have diagonals meeting at 30 degrees.


A quadrilateral where each angle is a right angle?

A rectangle or a square.


A quadrilateral where each angle is right angle?

a square or a rectangle