Prove ABCD is a parallelogram. Justify mathematically and explain.

Q: The midpoint of ABAB is at (−4,3)(-4,3). If A=(1,−2)A=(1,-2), find BB.

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

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Q: Every rectangle is a parallelogram. O True OFalse

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

A: We have to check

Q: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: Using the properties of a parallelogram, can you determine which are parallelograms?

A: Solution: (i) In this quadrilateral the diagonal are equal so it's a.... rectangle And every…

Q: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is best described as a…

A: We will use the congruent properties of a triangle to prove the statement.

Q: prove the parallelogramequlity:

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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: Which statements about parallelograms are always true or sometimes true?

A: Six properties about parallelogram we need to remember : Opposite sides of parallelogram are…

Q: allelogram tion to prove each quadrilateral is a parallelogram? Explain. 2. 12 11

A: Parallelogram:- opposite side are parallel and equal.

Q: State which theorem you can use to show that the quadrilateral is a parallelogram.

A: Given,

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

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Q: Find the value of a in the parallelogram.

A: Our Aim is to find the value of a in the paralleogram.

Q: 4. Construct the perpendicular bisector of this segment.

A: Given problem:-

Q: What is the area of this parallelogram?

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Q: Suppose that ABCD is a parallelogram, and В 3 (-3,b), А — (-4,4), C = (1,2), D = (a, 1) %3D What are…

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Q: how to prove a parallelogram?

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Q: Every parallelogram is a rectangle. True or false

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

A: To explain the given statement

Q: Which of these shapes are parallelograms? Choose ALL the correct answers

A: Let us verify each of the given option as shown below

Q: In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make…

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Q: What is the perimeter of the parallelogram ABCD?

A: The answer is found in step-2

Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

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

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

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Q: The diagonal of a parallelogram divides it into two congruent triangles. True False

A: Given statement is true, The diagonal of a parallelogram divides it into two congruent triangles.…

Q: Suppose that ABCD is a parallelogram, and B= (2,b), A = (-1,1), C = (6,2), D = (a, -1) %3D %3D %3D…

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

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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: 8. Can you prove this quadrilateral is a parallelogram? H.

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

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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: Do you think that the Euclidean parallel postulate is “obvious”? Write a brief essay explaining your…

A: Euclidean geometry is a mathematical system credited to ancient Greek mathematician Euclid and…

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: A parallelogram with perpendicular diagonals is a_____?

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

Q: Prove that cyclic parallelogram is a rectangle.

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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: 2. The diamond in a deck of playing cards is a rhombus. What does that mean about its diagonals?

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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: All parallelograms are quadrilaterals

A: A quadrilateral is a  polygon in plane geometry with 4 edges and 4  vertices. A parallelogram also…

Q: A parallelogram with congruent diagonals is a______?

A: A parallelogram has the following properties: Opposite sides are parallel and congruent.Opposite…

Q: A

A: A parallelogram has all the properties of ..

Q: A right triangle is formed by squares made up of identical square blocks a

A: A right triangle is formed by squares made up of identical square box as shown in figure.

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.