If the diagonals of a rectangle are perpendicular, then the rectangle is a square.

Q: Can you show that this quadrilateral is a parallelogram?

A: We have to check

Q: The diagonals of a parallelogram bisect each other.

A: Consider PQRS is a parallelogram,

Q: Determine if the quadrilateral is a parallelogram. 8. 9. %23 10.

A: If both pairs of opposite angles are congruent then the quadrilateral is a parallelogram In the…

Q: Must the quadrilateral be a parallelogram? Justify your reasoning.

A: The given figure indicates that,  The both pairs of opposite sides are congruent. Hence, as the…

Q: Prove analytically that the lengths of the diagonals of a rectangle are equal.

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Q: Every quadrilateral is a rectangle.

A: A quadrilateral has four sides and two dimensional shape .and two dimensional shape that are…

Q: A lot is in the form of a parallelogram whose shorter diagonal is perpendicular to its 50 meters…

A: We have to determine the area and perimeter of the lot.

Q: The diagonals of (not shown) are perpendicular. If one diagonal has a length of 10 and the other…

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Q: Find the area of a quadrilateral with vertices A( - 1 . - 1), 5(9, 4), C(20, 6).and D(10, 1).

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Q: Find the values of x and y that make the quadrilateral a parallelogram. 4x + 6 4y - 3 Зу + 1 7x-3 y…

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Q: If the diagonals of a parallelogram and congruent, what can you conclude regarding the…

A: Geometry: Since the diagonals of a parallelogram bisect each other, BE and DE are congruent and AE…

Q: If the diagonals of a parallelogram are equal in lengths and its sides are also equal in lengths,…

A: Let PQRS be a parallelogram. In ΔPQR and ΔSRQ, PQ = SR (Opposite sides of a parallelogram are…

Q: The diagonals of DABCD (not shown) are perpendicular. If one diagonal has a length of 10 and the…

A: Find perimeter of the parallelogram.

Q: Find the angle between the diagonal of a cube and one of its edges.

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Q: An octagon has ___ sides.

A: An octagon has ___ sides.

Q: Prove that the diagonals of a parallelogram bisect each other.

A:

Q: If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

A: Query- If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

Q: Prove that the diagonals of a rectangle are equal.

A: Let assume PQRS is the rectangle with                              PR and…

Q: Find the values of x and y that make the quadrilateral a parallelogram.

A: Given,           A quadrilateral ABCD is a parallelogram is shown below :

Q: What is the sum of the coordinates at which the diagonals of ABCD intersect?

A: From the given figure, The equation of the diagonals can be written as :

Q: If the diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent),…

A: Given  The diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent…

Q: Which description does NOT guarantee that a quadrilateral is a square?

A: Lets go through the  properties of square :->A square is a parallelogram with all sides equal to…

Q: Show that a quadrilateral is a parallelogram if one pair of its opposite sides are equal and…

A: Consider a quadrilateral whose one pair of its opposite sides are equal and parallel.

Q: A cube has four diagonals. Show that no two of them are perpendicular.

A: Given: A cube has four diagonals.

Q: Prove that the sum of the squares of the lengths of the sides of a parallelogram is equal to the sum…

A: Let the sides of the parallelogram be 'l' with longest and 'b' with shortest parallel lines and…

Q: Find the values of x and y which make quadrilateral QUAD a parallelogram, and then find the…

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Q: Classify each quadrilateral as precisely as possible. 6. 区 5.

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Q: Prove analytically that the sum of the squares of the four sides of a parallelogram is equal to the…

A: Apollonius's theorem   for triangle ABC with M being the midpoint of BC, the following equation…

Q: Determine if the statement is true or false. In a rectangle the diagonals are perpendicular.

A: In a rectangle the diagonals are never perpendicular. So the given statement is false.

Q: Prove analytically that if the diagonals of a parallelogram rectangle. are equal, then the…

A: Given:-  Diagonals of parallelogram are equal.To proof  Parallelogram is a Rectangle.

Q: True or False: A rectangle has diagonals that bisect opposite angles.

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Q: Theorem. The diagonals of a rectangle bisect each other and have the same length.

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Q: 5. Find the dimension of the largest rectangular building that can be placed on a right-triangular…

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Q: True or False: Rectangles have diagonals that are congruent.

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Q: For which quadrilaterals do the diagonals bisect each other, have the same length, and intersect at…

A: The geometrical figure that has four sides is called the quadrilateral. The rectangle, square,…

Q: Can you prove this quadrilateral is a parallelogram?

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Q: It is possible for a parallelogram to also be a square.

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Q: Is a square always a rhombus

A: Squares and rhombus

Q: If both a parallelogram and triangle have the same base and altitude, then the area of the…

A: Given: If both a parallelogram and triangle have the same base and altitude, then the area of the…

Q: Prove that the quadrilateral with vertices A(0,0), B(4,3), C(7,-1) and D(3,-4) is a square.

A: →In a quadrilateral, if all sides are equal then quadrilateral is a square. →Calculate the length of…

Q: The Pythagorean Theorem states that for any ______ triangle, the square of the______ is equal to the…

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Q: For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the…

A: Here we have to determine the name of the theorem. The given theorem is: For any cyclic…

Q: Determine if the parallelogram ABCD is also a rectangle, rhombus, or square

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: If a student claims that all figures with four congruent sides are squares. would he be correct?

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Q: A quadrilateral has _____ sides 1 4 -4 -1

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Q: The area of the rhombus is 132 sq cm, if its shorter diagonal is 12 cm, find the longer diagonal.

A: Solution is here provided

Q: An F-22 Raptor is approaching Nellis Air Force Base at an altitude of 2,640 feet. If the horizontal…

A:

Q: ABCD is a quadrilateral with AB = x, CD = 2ỷ, and AC = 33 – ỷ. Express - BD and BC in terms of x and…

A:

Q: Show that squares are the only rect-angles with perpendicular diagonals.

A: Consider u and v as the sides of the rectangle.The diagonals are perpendicular.Consider the…

Q: If a side of a square has length 5 cm, then a diagonal of the square haslength _______ cm.

A: Here given a side of a square has length 5 cm