Bright Scholar Sr. Sec. School PERIODIC TEST-3(2021-22) CLASS – IX SUBJECT- MATHEMATICS Time allowed: 1 hr Maximum Marks: 20 1. This question paper comprises three sections A,B,C 2. Section A consists 3 questions of 2 marks each. 3. Section B consists 3 questions of 3 marks each 4. Section C consists 1 question of 5 marks. SECTION A Q1. Three angles of a quadrilateral are equal and the fourth angle is equal to 1440.Find each of the equal angles of the quadrilateral. Q2. In ∆ABC, AB=13 cm, BC=16 cm and AC=8cm. Find the perimeter of the triangle formed by joining the mid points of the sides of the triangle. Q3. . In Figure, ∠ABC=69°,∠ACB=31°,find∠BDC. SECTION B Q4.If the non-parallel sides of a trapezium are equal. Prove that it is cyclic. Q5. Show that if the diagonals of a quadrilateral bisect each other at right angles then it is a rhombus. Q6. A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc. SECTION C Q7. Prove that: The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.