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Which of the following is not a criterion for congruence of triangles?
If AB = QR, BC = PR and CA = PQ, then
ABCD is a quadrilateral in which AD = BC and ∠ DAB = ∠ CBA (see Fig. 7.17). Prove that (i) △ ABD ≅ △ BAC (ii) BD = AC (iii) ∠ ABD = ∠ BAC.
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 (see Fig. 7.23). Show that: (i) △ AMC ≅ △ BMD (ii) ∠ DBC is a right angle. (iii) △ DBC ≅ △ ACB (iv) CM = 1/2 AB
ABC and DBC are two isosceles triangles on the same base BC (see Fig. 7.33). Show that ∠ ABD = ∠ ACD.
AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig. 7.37). Show that the line PQ is the perpendicular bisector of AB.
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