Form 2 Special Ex

# Form 2 Special Ex - Similar and Congruent Triangles...

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1 Similar and Congruent Triangles Form 2 Congruent Triangles 1. In the figure, AEC and CDB are straight lines. AD and EB intersect at F. BE AC, AD BC and CD = CE. Prove that AD = BE. 2. In the figure, ADC and BDE are straight lines, a 1 = b 1 and a 2 = b 2 . F E D C B A b 2 b 1 a 2 a 1 D C B A E

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2 3. In the figure, ACY, ABX, CZX and BZY are straight lines, AB = AC and AX = AY. (a) Prove that BCY   CBX. (b) Prove that BCZ is an isosceles triangle. Y B C Z X A
3 4. In the figure, AKC, AHB, CGH and KGB are straight lines. BG = CG and HG = KG. (a) Prove that BGH   CGK. (b) Prove that ABK   ACH. 5. In the figure, AE = AD, BD AC and CE AB. BD and CE intersect at F. (a) Prove that ABD   ACE. (b) Prove that BEC   CDB. B H G C K A F E D C B A

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4 6. In the figure, P, Q, R are points on the sides of isosceles triangle ABC with AB = AC, BR = CP and BP = CQ. (a)
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Form 2 Special Ex - Similar and Congruent Triangles...

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