Q. 1. In a triangle, if the square on one side is equal to the sum of the squares on the remaining two, the angle opposite the first side is a right angle. (Converse of Pythagoras Theorem)
Q. 2. If a line is drawn parallel to one side of a triangle, the other two sides are divided in the same ratio.
Q. 3. In a right triangle, the square on the hypotenuse is equal to the sum of the squares of the other two sides.
Q. 4. 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.
Q. 5. The sum of the either pair of the opposite angles of a cyclic quadrilateral is 1800.
Q. 6. If PAB is a secant to circle intersecting it at A and B and PT is a tangent, then PA * PB = PT2;.
Q. 7. If a line touches a circle and from the point of contact a chord is drawn, the angle which this chord makes with the given line are equal respectively to the angles formed in the corresponding alternate segment.
Q. 8. If two circles touch each other internally or externally, the point of contact lies on the line joining their centres.
