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2 March, 23:07

Given quadrilateral ABCD≅quadrilateral EFGH, which statement is true?

BD≅GH

CB≅FG

AC≅EG

DA≅BC

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Answers (1)
  1. 2 March, 23:15
    0
    Answer: AC ≅ EG

    Step-by-step explanation:

    Given : quadrilateral ABCD≅quadrilateral EFGH

    We know that if two quadrilaterals are congruent then the corresponding parts are congruent.

    i. e. Corresponding sides and diagonals of congruent quadrilaterals are congruent.

    i. e. If quadrilateral ABCD≅quadrilateral EFGH, then

    AB ≅ EF [ First two vertices ]

    BC ≅ FG [Middle two vertices]

    CD ≅ GH [Last two vertices]

    DA ≅ GH [Last and First vertices]

    AC ≅ EG [First and Third vertices]

    BD ≅ FH [Second and Fourth vertices]

    Therefore, the correct answer is : AC ≅ EG
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