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AnilSinghBora
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Asked: 2021-08-10T14:03:11+05:30 In:

ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (i) ABCD is a square Q.8(1)

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Yesterday i was doing the question from class 9th ncert book of math of Quadrilaterals chapter of exercise 8.1  What is the easiest way for solving it because i was not able to do this question please help me for solving this question ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (i) ABCD is a square

best math ncert solutionexercise 8.1 ncertncert class 9th solutionquadrilaterals ncert
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    1. Guru

      Ncert solutions class 9 chapter 8-7

      (i) ∠DAC = ∠DCA (AC bisects ∠A as well as ∠C)

      ⇒ AD = CD (Sides opposite to equal angles of a triangle are equal)

      also, CD = AB (Opposite sides of a rectangle)

      ,AB = BC = CD = AD

      Thus, ABCD is a square.

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