AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that
and
. (see Figure). Show that
(i)
(ii)
Solution (i)
In
and
(Given) (1)
(P is the mid-pont of AB) (2)
. (Given)
(3)
Therefore, from (1), (2) and (3), we can say that by ASA rule,
Solution (ii)
From solution (i), we know that by ASA rule,
.
Therefore,
(Corresponding parts of congruent triangles are equal)
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