what is the formula for diagonal of a quadrilateral?
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Correct answer: The length of a diagonal of a square is times the length of a side; since the rhombus has perimeter 80, each side measures one fourth of this, or 20, and diagonal has length .
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If the diagonals of a parallelogram are both perpendicular and congruent, then the special quadrilateral is rhombus. A Rhombus is a flat shape having for equal sides. A rhombus looks like a diamond, where both sides have the same length. The opposite sides are identical, and the angles opposite are equal.
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Answer Expert Verified. Given: Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. AD and BC are parallelogram, this means that they are equal in measure.
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In a rectangle, all the angles are equal and equal to 90 degrees. The diagonals of a rectangle are equal which is not equal in case of a parallelogram. In a parallelogram, diagonals are just bisectors, in a rhombus diagonal are perpendicular bisectors. The diagonals of a rectangle are congruent.
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If ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prove that (1)(AB+BC+CD+DA)>(AC+BD) ... In which diagonal ac and bd intersect at o prove a). Ab+bc+cd+da<2(bd+ac) b).
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If the diagonals AC and BD of a quadrilateral ABCD intersect O and separate the quadrilateral in four triangle are equal, can you prove ABCD is a parallelogram? Given that all triangles formed by diagonals of the quadrilateral are equal. ... We proved that diagonals of ABCD bisect each other. => ABCD is a parallelogram.
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If the diagonals of a parallelogram are congruent then the parallelogram is a rectangle. if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. ... if one pair of consecutive sides of a paralleloram are congruent, the parallelogram is a rhombus.
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["Δ=b2−4ac Δ = b 2 − 4 a c is the formula for a quadratic function 's discriminant.", 'If Δ is greater than zero, the polynomial has two real, distinct roots.', 'If Δ is equal to zero, the polynomial has only one real root.', 'If Δ is less than zero, the polynomial has no real roots, only two distinct complex roots.']
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Polygons - Quadrilaterals. So, the sum of the interior angles of a quadrilateral is 360 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 360 degrees (from above)...
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The diagonal of a parallelogram PQRS are along the line x+3y=4 and 6x-2y=7. Then which geometrical figure (square, rhombus, rectangle) PQRS should be? ... => diagonals are perpendicular to each other.
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['Divide the figure into two triangles by drawing a diagonal.', 'Calculate the area of the triangle that has the given angle.', 'Calculate the length of the diagonal using the Law of Cosines.', "Calculate the area of the second triangle using Heron's Formula."]
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A heptagon has 14 diagonals. As a heptagon has seven sides, it will also have seven vertices. The formula to determine the number of diagonal a...
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OQ is a diagonal of quadrilateral NOPQ. If NO=PQ, NQO=7y-37, and POQ=2y+93, find POQ such that NOPQ is a parallelogram.
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Correct answer: Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
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THEOREM: If a quadrilateral is a kite, it has one diagonal forming two congruent triangles. THEOREM: If a quadrilateral is a kite, it has one diagonal that bisects a pair of opposite angles. ... THEOREM: If one of the diagonals of a quadrilateral is the perpendicular bisector of the other, the quadrilateral is a kite.
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The diagonals of a parallelogram are represented by R1=3i^+2j^−7k^ and R2=5i^+6j^−3k^.
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Yes if diagonals of a parallelogram are equal then it is a rectangle. Let PQRS be a parallelogram. To show that PQRS is a rectangle, we have to prove that one of its interior angles is 90º.