Q10 of 186 Page 258

State the converse of Pythagoras’ theorem.

Converse of Pythagoras’ Theorem: In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.


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8

State the SAS-similarity criterion.

 9

State Pythagoras’ theorem.

 11

If D, E and F are respectively the midpoints of sides AB, BC and CA of ΔABC then what is the ratio of the areas of ΔDEF and ΔABC?

 12

Two triangles ABC and PQR are such that AB = 3 cm, AC = 6 cm, A = 70°, PR = 9 cm, P = 70° and PQ = 4.5 cm. Show that ΔABC ~ ΔPQR and state the similarity criterion.