Question

In the given figure BM and DN are perpendicular to AC from B and D respectively. Prove that AN is equal to CM if ABCD is a parallelogram.


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Answer 1

Step-by-step explanation:

In triangle DAN and CMB

AD= CB (opposite angles of a parallelogram)

angle DNA = angle CMB (each 90 degree)

angle DAN = angle ACB (alternate interior angles)

so, triangle DAN congruent to CMB

so, AN = CM(CPCT)

hence proved

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