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ICSE Class IX Notes 2023 : Mathematics (Vibgyor High School, Malad East, Mumbai) : Isosceles triang

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Class: 9 Revision Worksheet No: 2 Mathematics Isosceles Triangles Question 1: AD is an altitude of an isosceles ABC in which AB = AC. Show that (i) AD bisects BC, (ii) AD bisects A. Question2: ABC and DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to interest BC at E, show that (i) ABD ACD (ii) ABE ACE (iii) AE bisects A as well as D (iv) AE is the perpendicular bisector of BC. Question3: ABC is a right triangle right angled at A such that AB = AC and bisector of C intersects the side AB at D. Prove that AC + AD = BC. Question4: In the given figure, OA = OB and OP = OQ. Prove that (i) PX = QX, (ii) AX = BX. Question5: In the given figure, ABCD is a quadrilateral in which AB || DC and P is the midpoint of BC. On producing, AP and DC meet at Q. Prove that (i) AB = CQ, (ii) DQ = DC + AB. *****

 

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