1.

(a) If the areas of two similar triangles are equal, prove that they are congruent. (b) The scale of the map is 1 : 200000. A plot of land with area 20 km2 is to be represented on the map. Find: (i) The number of kilometres on the ground which is represented by 1 cm on the map. (ii) The area in sq. km that can be represented by 1cm2 (iii) The area of the map that represents the plot of land. [6 MARKS]

Answer» (a) If the areas of two similar triangles are equal, prove that they are congruent.

(b) The scale of the map is 1 : 200000. A plot of land with area 20 km2 is to be represented on the map. Find:

(i) The number of kilometres on the ground which is represented by 1 cm on the map.
(ii) The area in sq. km that can be represented by 1cm2
(iii) The area of the map that represents the plot of land. [6 MARKS]





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