how many lines can be drawn in a figure of ten sides

Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are t..

Question: Prove the converse of mid-point theorem using Basic Proportionality Theorem. That is, prove that the line drawn from the mid-point of one side of a triangle, parallel to the second side, bisects the third side. [2 Mark] Answer: Given..

In ABC in the figure above, the bisectors of the three angles meet at I. I is the Incentre. With I as centre and IM as radius, a circle drawn to touch the sides, is called the Incircle. In a triangle, the perpendicular bisectors of the three sides meet at a p..

In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the sides are produced. As the tri..

Interior and Exterior angles of a triangle - In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the..

Question: Give the definition of the following terms. Are there other terms that need to be defined first i) line segment ii) radius of a circle iii) square Answer: Line segment: A line segment is a part of a line with two terminal points. The ot..

The Circle of Reference - The above figure shows a body moving with uniform speed along a circle. Let perpendiculars be drawn from different positions of the body onto any diameter, say the vertical diame..

To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0. Let the lines AB and CD intersect at S. Let P(x,y) be a point on the angle bisector of any one of the angles. Let P(x,y) be on SU, then the length PM of the perpendicular drawnh..

Question: Prove that the figure formed by joining the mid-points of pairs of consecutive sides of a quadrilateral is a parallelogram. Answer: Given: ABCD is a quadrilateral. E, F, G and H are the mid-points of AB, BC, CD and DA respectively. To prove: EFGH is a..

Corresponding Angles Axiom - If two parallel lines are cut by a transversal, then the corresponding angles are equal in the figure below (a) (b) (c) (..