In right triangle ABC, right angled at C,M is the mid point of hypotenuse AB. C is joined to M and

In right triangle ABC, right angled at C,M is the mid point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM.Point D is joined to point B. Show that
i) ∆AMC congruent ∆BMD
ii) Angle DBC is a right angle.
iii) ∆DBC congruent ∆ACB
iv) CM=1/2 AB
Class 9 Maths Ncert, Chapter name - Triangle , Chapter number - 7, Question number - 8, Exercise -7.1
Class 9 Maths , Ncert , Triangles.

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