Math, asked by askascendria, 9 months ago

(b) In the figure (2) given below, AB || DC and angle c=angle d. Prove that

(ii) AC = BD.
(i) AD=BC
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Answered by abu47
6

Step-by-step explanation:

In the given figure, it is noticeable that angle C = angle D.

Therefore, the figure is actually an isosceles trapezoid.

therefore, AD=AB.     (By properties of an isosceles trapezoid)(!)

Also, AC=AD.      (Again by properties of an isosceles trapezoid)(!!)

(!)In an isosceles trapezoid, the opposite sides pair, other than the parallel sides, are equal in length.(quite, similar to isosceles Triangle)

(!!)Joining A to C and B to D, we get AC and BD, the two diagonals of the figure.

In an isosceles trapezoid, the diagonals too are of equal length.

hope it really helps

Answered by SubneetSandhu
1

Answer:

here is ur answer

Step-by-step explanation:

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