P . •C R B Congruence of triangles Activity : Observe the adjacent figures. Copy A ABC on a tracing paper. Place it on A PQR such that point A coincides with point P, point B with point Q and point C with point R. You will find that both the triangles coincide exactly with each other, that is they are congruent. In the activity, one way of placing A ABC on A PQR is given. But if we place point A on point Q, point B on point R and point C on point P, then two triangles will not coincide with each other. It means the vertices must be matched in a specific way. The way of matching the vertices is denoted by one-to-one correspondence. Point A corresponds to point P is denoted as AP Here, two triangles are congruent in the correspondence A + P. BO CAR When the two triangles are congruent in this way, we get six congruence namely ZAZP, ZB ZQ, ZCE ZR, seg AB seg PQ, seg BC seg Q
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The shadow of a vertical tower on level ground increases by 7.3 mts. when altitude of the sun changes from angle of elevation 45⁰ to 30°, Find the height of the tower? (√3=1.73).
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