If the diagonals of a parallelogram and congruent, what can you conclude regarding the parallelogram? are perpendicular

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

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

A: We have to check

Q: Draw a quadrilateral that is not a parallelogram but that has one pair ofcongruent sides and one…

A: We know that, an isosceles trapezium has one pair of opposite sides equal to each other and the…

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: 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: "A parallelogram with all sides congruent and all angles congruent"

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Q: Verify that the points are the vertices of a parallelogram, and then find its area.(1, −2, 0), (4,…

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

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Q: Suppose that ABCD is a parallelogram, and В 3 (-1,5), A = (-4, 1), C = (3,0), D = (a, -2) %3D What…

A: Consider the figure as follows we know that diagonals of parallelogram bisect each other therefore…

Q: Show that the opposite angles of a parallelogram are equal.

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Q: Being as specific possible, name the type of parallelogram as that a) has congruent diagonals. b)…

A: There are 3 types of parallelogram such as rhombus, rectangle, and square.

Q: Verify that the points are the vertices of a parallelogram, and then find its area.(1, 1, 1), (2, 3,…

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Q: Verify that the points are the vertices of a parallelogram, and then find its area. (1, 1, 1), (5,…

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

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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: Is the following a parallelogram? and Why?

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Q: What is the area of this parallelogram?

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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 parallelogram with congruent diagonals is a rhombus. O True O False

A: Given Statement : A paralleogram with congruent diagonals is a rhombus. To find: Whether statement…

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: The fact that a parallelogram has pairs of parallel sides is stated in the definition of a…

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Q: A parallelogram has both pairs of opposite sides equal. True or false?

A: Since we know that a parallelogram has a pairs of opposite sides equal and parallel

Q: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

A: Given- The diagonals of  a parallelogram are prependicular . To show- That the parallelogram is…

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

A: Let ABCD be a parallelogram. Given AC and BD are diagonals of parallelogram in equal length. In…

Q: If both pairs of adjacent sides and opposite sides are congruent in a parallelogram, then the…

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Q: Suppose that ABCD is a parallelogram, and B = (-1,b), A = (-5, 5), C = (3, 4), D = (a, 2) What are…

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Q: If a quadrilateral is a parallelogram, then opposite angles are complementary.

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Q: Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its…

A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

Q: A parallelogram has line symmetry and either diagonal is an axis of symmetry.

A: Statement - A parallelogram has line symmetry and either diagonal is an axis symmetry.   Consider a…

Q: If a quadnilateral is a parallelogram, then opposite angles are complementary.

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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 the lengths of the diagonals of a parallelogram are congruent, then you can prove it is a square…

A: Consider a parallelogram PQRS with diagonals PR and QS  congruent i.e.  Diagonals PR and QS  are…

Q: Show that if a line is drawn from the vertex of an isosceles triangle that bisects the base of the…

A: Let ABC is an isosceles triangle such that AB=AC. Let AD is the bisector of angle A. To prove BD=BC…

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

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Q: Find the area of a parallelogram with corner points at (2,4), (5,9), (9,9), and (6,4) Area

A: Area of a parallelogram of base b units and height h units is given by the equation; Area (A)=a·h

Q: Draw parallelogram RSTV with mZR = 70° and mZS = 110°. Which diagonal of ORSTV has the greater…

A: A parallelogram has 2 pairs of equal and parallel sides. Opposite angles are equal. Diagonals…

Q: how many lines of symmetry is in these figures?

A: A line of symmetry is a line that cuts the given shape into 2 equal halves. It basically means that…

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: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular.

A: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular

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: If the diagonals of a quadrilateral meet in a right angle, then the quadrilateral is best described…

A: The diagonals of a parallelogram does not always meet at 90 degrees

Q: Find the area of a parallelogram with corner points at (1,2), (4,6), (7,6), and (4,2) Area =

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Q: Prove that the diagonals of a rhombus (parallelogram with 4 equal sides) are perpendicular to each…

A: A parallelogram is a rhombus if all sides are equal.

Q: A diagonal may be inserted onto a diagram of a parallelogram to complete a proof involving the…

A: A parallelogram is a closed figure with 2 pairs of opposite sides parallel to each other.

Q: One pair of parallel sides proves a quadrilateral to be a parallelogram

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

A: Consider a quadrilateral whose diagonals are perpendicular bisectors of each other but not congruent…