Which of the following is not a criterion for congruence of triangles?
BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig. 7.19). Show that △ ABC ≅ △ CDA.
AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠ BAD = ∠ ABE and ∠ EPA = ∠ DPB (see Fig. 7.22). Show that (i) △ DAP ≅ △ EBP (ii) AD = BE
In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE.
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