Prove analytically that if the diagonals of a parallelogram rectangle. are equal, then the parallelogram is a

Q: True or False: All parallelograms have diagonals that are congruent.

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Q: Prove ABCD is a parallelogram. Justify mathematically and explain.

A: Given vertices of quadrilateral are A(-1,3) B(3,2) C(2,-5) D(-2,-4) Prove ABCD is a parallelogram

Q: Every rectangle is a parallelogram. O True OFalse

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Q: All parallelogram are squares  •True  •False

A: To Determine:  Is the statement is True or False All parallelogram are squares

Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

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

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Q: find its dimensions of height and length of ba:

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Q: Which of the following would show that the diagonals of quadrilateral JKLM on the coordinate plane…

A: The given triangle JKLM is,

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

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

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Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1), and M(-1,2) is a square.

A: We have to prove that the quadrilateral given is a Square

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

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

Q: Prove that if DABCD is a parallelogram, then DABCD is convex.

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Q: A parallelogram has point symmetry about the point where its two diagonals intersect.

A: Given query is to find that given statement is true or false.

Q: Prove that the diagonals of a rectangle are of equal length. [Hint: Take the vertices of the…

A: To prove that diagonals of a rectangle are if equal length.  Consider a rectangle which has one…

Q: Every parallelogram has diagonals that bisect each other. O True O False

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Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

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Q: how to prove a parallelogram?

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Q: If x, y, and z are lengths of the edges of a rectangular box, the common length of the box's…

A: Length of rectangular box =x Breadth of rectangular box =y Height of rectangular box =z

Q: Every parallelogram has perpendicular diagonals. O True O False

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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: Prove by the indirect method: “The length of a diagonal of a square is not equal in length to the…

A: Introduction: There are some basic methods that are used to prove any mathematical statement. These…

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: a quadrilateral is a parallelogram if both pairs of its opposite sides are equal.

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Q: Prove that the diagonals on the parallelogram in the figure intersect at their midpoints. (b, c)…

A: let A=(b, c) B=( a+b , c) D=(0,0) C=(a,0)

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

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Q: Prove that a parallelo-gram is a rectangle if and only if its diagonals are equal in length. (This…

A: Consider a parallelogram ABCD having diagonals AC and BD such that, AC=BD.

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

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Q: Prove that the diagonals of any parallelogram bisect each other. (Hint: Label three of the vertices…

A: Given:- ABCD is a parallelogramTo prove:-AO=CO                 DO=BOProof:-In ∆AOD and ∆COB∡OAD=∡OCB…

Q: Prove that the diagonals of a trapezoid divide themselves proportionally.

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Q: When parallelograms are rectangles Prove that a parallelogram is a rectangle if and only if its…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

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Q: Prove that ABCD is a square

A: If ABCD  is a square then length of all the sides will be equal, That means. AB=BC=CD=DA.  To find…

Q: Can u classify the quadrilateral

A: Explanation: It can be seen from the the given figure that the figure has four sides with exactly…

Q: A parallelogram with perpendicular diagonals is a_____?

A: we have to fill in the blanks: A parallelogram with perpendicular diagonals is a_____?

Q: If EFGH is a parallelogram whose diagonals meet at point X, then EX = XG and FX = XH . OTrue O False

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Q: Prove that cyclic parallelogram is a rectangle.

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Q: Prove analytically that the midpoint of the hypotenuse of a right triangle is equidistant from the…

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Q: help!! the assignment is on quadrilaterals, similar triangles, and circles! I really need this…

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Q: Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the side…

A: Here ask to prove the line joining the midpoint of a median to a vertex of the triangle trisectsthe…

Q: Show that the quadrilateral having vertices at (1, –2, 3), (4, 3, –1), (2, 2, 1), and (5, 7, –3) is…

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Q: Show that the quadrilateral having vertices at (1, −2, 3), (4, 3, −1), (2, 2, 1) and (5, 7, −3) is a…

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Q: Prove: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

A: Statement: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Q: Prove that if ABCD is a parallelogram, then its diagonals bisect each other.

A: Let us consider a paralellogram ABCD which have diagonals AC And BD and intersect at point E

Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

A: Consider the given information as, If the diagonal of a rectangle are perpendicular, then the…

Q: Determine if quadrilateral EFGH with E(-2, 1), F(1, 2), G(4, 1), H(1, -4) is a parallelogram by…

A: Parallelogram is a quadrilateral with opposite side parallel and equal. So to check whether the…

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…