Which of the following statement is true about the diagonals of a rhombus?

Answer (C) Its diagonals bisect each other at right angles.
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Which statement is not true about the diagonals of a rhombus?

False The diagonals of a rhombus bisect each other at right angles, while the diagonals of a rectangle are equal in length. Hence,the above statement is false.
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Which statement is true about a rhombus?

True, Rhombus is a parallelogram since opposite sides equal and parallel.
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Which of the following describe the diagonals of a rhombus?

The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral. Its diagonals bisect opposite angles.
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What are two properties that are always true regarding the diagonals of a rhombus?

In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus.
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Rhombus diagonals | Quadrilaterals | Geometry | Khan Academy



Are the diagonals of rhombus equal?

False The diagonals of a rhombus bisect each other at right angles, while the diagonals of a rectangle are equal in length.
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Do diagonals of a rhombus bisect?

Diagonals of a rhombus bisect each other at right angle.
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Are rhombus diagonals perpendicular?

Sal proves that the diagonals of a rhombus are perpendicular, and that they intersect at the midpoints of both.
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Why are diagonals of rhombus not equal?

In rhombus, the diagonals are perpendicular bisectors to each other, but not equal in length. This means that diagonals cut each other in half.
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How do you find the diagonals of a rhombus?

Using the Pythagoras theorem, the length of the unknown diagonal of the rhombus can be calculated. Half of the unknown diagonal = √(142 - 92) = √(196 - 81) = √115 = 10.72 units. Since this is half the diagonal, the full length of the unknown diagonal is 10.72 + 10.72 = 21.44 units.
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Which of the following statements is not true for a rhombus *?

The correct answer is The adjacent angles are not supplementary. A rhombus is a special form of a parallelogram, all sides of which are equal. The distinction between the rhombus and the rhombus is that all the squares are right angles, but the angles of the rhombus do not need to be right angles.
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What statement about a rhombus is never true?

It is not true when a rhombus does not have any right angles. Here is an example when a rhombus is a square: Here is an example when a rhombus is not a square: 2.
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How do you prove that the diagonals of a rhombus are perpendicular?

Given: Rhombus ABCD To prove : AC BD Proof: Since ABCD is a rhombus AB = BC = CD = DA In AOB and COB, OA = OC OB = OB AB = CB AOB COB AOB = COB Since AC is a line, AOB + COB = 180 AOB + AOB = 180 2 AOB = 180 AOB = 180" " /2 = 90 From (1) COB = AOB COB = 90 Also, DOC = AOB = 90 AOD = COB = 90 Since DOC = AOB = AOD = COB ...
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Is rhombus diagonals bisect opposite angles?

In any rhombus, the diagonals (lines linking opposite corners) bisect each other at right angles (90°). That is, each diagonal cuts the other into two equal parts, and the angle where they cross is always 90 degrees.
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Is the diagonal of a rhombus a line of symmetry?

A rhombus has 2 lines of symmetry. The diagonals of a rhombus are its symmetry lines.
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In which of the following diagonal are mutually perpendicular?

Answer: Rhombus; square.
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Which statement is true every rhombus is a square?

Solution. Every rhombus is a square. It is not true that every rhombus is a square because some rhombi may have all angles other than 90. So, it is a false statement.
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Does a rhombus have right angles yes or no?

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.
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Is a rhombus always a square?

Therefore, the square is always a rhombus but a rhombus may not necessarily be a square. A square is always a rhombus since all the sides of a square are equal in length. In addition to this, the diagonals of both the closed figures, square and rhombus are perpendicular to each other and bisect the opposite angles.
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What is true about the diagonals of a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
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How do you find the diagonal?

You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²) .
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How do you find the diagonal of a class 8?

Number of Diagonals = n(n-3)/2

In other words, an n-sided polygon has n-vertices which can be joined with each other in nC2 ways. Now by subtracting n with nC2 ways, the formula obtained is n(n-3)/2. For example, in a hexagon, the total sides are 6.
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What is a diagonal and example?

The definition of diagonal is something with slanted lines or a line that connects one corner with the corner furthest away. An example of diagonal is a line going from the bottom left corner of a square to the top right corner.
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What are the properties of diagonals of rectangle?

The fundamental properties of rectangles are:
  • A rectangle is a quadrilateral.
  • The opposite sides are parallel and equal to each other.
  • Each interior angle is equal to 90 degrees.
  • The sum of all the interior angles is equal to 360 degrees.
  • The diagonals bisect each other.
  • Both the diagonals have the same length.
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