(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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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.
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