If the lengths of the diagonals of a parallelogram are congruent, then you can prove it is a square trapezold Of rectangle rhombus

Q: Show that the diagonals of a parallelogram are perpendicular if and only if it is a rhombus, i.e.,…

A: please find the attached solution

Q: The definition of a rhombus is a quadrilateral that has four congruent sides. O True O False

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Q: If a quadrilateral has diagonals that are perpendicular, then the quadrilateral can always be…

A: To check: The statement is true or false. Given: The statement is "If a quadrilateral has diagonals…

Q: 45. Prove: If the diagonals of a trapezoid are congru- ent, then it is an isosceles trapezoid.

A: Prove:- if the diagonals of a trapezoid are congruent, then it is an isosceless trapeziod Now given…

Q: A quadrilateral has vertices Q (-2, -2), R (0, 2), S (4, 3), and T (3,-1). Which statement about…

A: Solution: The objective is to determine the statement about quadrilateral QRST

Q: 10. Prove that quadrilateral A(1,-2), B(13,4), C(6,8) and D(-2,4) is a trapezoid, but is NOT an…

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Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 9 and…

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Q: Prove that the sum ofthe squares of the sides of a rhombus s equal to the sum of the squares of its…

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Q: In rhombus MNPQ , diagonal MP is congruent to side MQ Find mZQMN.

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Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We can answer the question as below.

Q: 7. If the coordinates of quadrilateral ABCD are A(3, 5), B(7, 6), C(6, 2) and D(2, 1), proveABCD is…

A: Given: Quadrilateral ABCD with vertices A(3,5), B(7,6), C(6,2), D(2,1)

Q: Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram must be a…

A: Consider the given paralleogram   Since the diagonals of a parallelogram bisect to each other, BE…

Q: When you know that two consecutive sides of a parallelogram are congruent,you can prove that the…

A: properties of parallelogram  (1) opposite sides are equal  (2) opposites angles are equal  (3)…

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: Prove that the quadrilateral formed by joining, in order,the midpoints of the sides of an isosceles…

A: To prove that the quadrilateral formed by joining, in order, the midpoints of the sides of an…

Q: 4. Find the perimeter and area of a rhombus that has a side length of 10 cm and one diagonal with…

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Q: What type of polygon must have a diagonal such that at least part of the diagonal falls in the…

A: It is known that, a quadrilateral is a plane figure that is made up of four line segments closing in…

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: paragraph proof please!

A: Given: Points P, Q, R and S are the mid-points of sides of isosceles trapezium ABCD with AB || CD…

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

A: Here given that diagonals of quadrilateral bisect each other and we need to prove that the…

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: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 5 and…

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Q: 4.ABCD is a rhombus because:

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Q: A rhombus has sides of length 44 units and interior angles of 120 degrees and 60 degrees. How long…

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

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Q: If two quadrilaterals are equiangular, then they are similar. If two pentagons are equiangular, then…

A: We have to check weather the given statement is True or False.

Q: Prove: The diagonals of a rhombus divide the rhombus into four congruent triangles.

A: We need to prove that the diagonals of a rhombus divide the rhombus into four congruent triangles.…

Q: In order for a rhombus to be proven using either its sides or angels, it must first be proven to be…

A: in order for a rhombus to be proven using either its sides or angles. it must be proven to be a…

Q: If quadrilateral WXYZ is a rhombus and and MZYXZ= 33° find each measure.

A: Given that, m<YXZ = 33o Then we get, m<9 = 33o m<1 = 90o (The diagonals of a rhombus bisect…

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: Can you prove this quadrilateral is a parallelogram?

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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: Is a square always a rhombus

A: Squares and rhombus

Q: the diagonals of a rhombus have lengths 5 and 12, then the perimeter of the rhombus is 48. True or…

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Q: A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

A: To classify a parallelogram shape with four right angles.

Q: Quadrilateral ABCD is a rhombus. If AE = 3x-1 and AC = 16, find x. E.

A: Topic = Geometry   A rhombus is a quadrilateral whose all four sides are equal in length and…

Q: Show that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a…

A: Solution: Consider the given that RSTV has vertices R(-5, -3) , S(1, -11), T(7, -6), and V(1, 2)…

Q: If the diagonals of a rhombus measure 30 cm. and 78 cm., what is the perimeter of the rhombus?

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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: Quadrilateral RYZP is a RHOMBUS. If RK = 5, RY = 13 and MZYRZ = 67°, find the mZRZP. * R K. z.

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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: A rhombus has sides of length 44 cm and interior angles of 120 degrees and 60 degrees. How long are…

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Q: Which quadrilaterals always have diagonals that are congruent

A: Which quadrilaterals always have diagonals that are congruent

Q: A rhombus has sides of length 100 centimeters, and the angle at one of the vertices is 70°.…

A: Given the rhombus of side length 100cm and the angle at one of the vertices is 70 degree. We need to…

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: 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: In order for a rhombus to be proven using either its sides or angels, it must first be proven to be…

A: given a statement related to rhombus

Q: Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex…

A: Consider the given: Given:AB=A'B'In a parallelogram, parallel sides have equal length.In…

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.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.