midpoint theorem introduction

Introduction - We can prove some more properties of triangles using the properties of parallelograms seen in the previous chapter. We find that the line segment joining the mid points of any two sides of the triangle is parallel to the third side and is equal to half of it. We prove this ..

The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third sid..

Question 1 - Question: Show that the quadrilateral, formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus. Answer: Given: P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. To prove: PQRS is a rhombus. Proof: Consider D BAC ( In a..

Converse of Mid-Point Theorem - The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side. In ABC, P is the mid-point of AB and PQ || BC. AQ = CQ Draw CR || BA to meet PQ produced at ..

The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third sid..

Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For example, x - y, a + 3b, x 3 + 4y etc. are binomials. We know that, For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in term..

We can prove some more properties of triangles using the properties of parallelograms seen in the previous chapter. We find that the line segment joining the mid points of any two sides of the triangle is parallel to the third side and is equal to half of it. We prove this in the mid point ..

From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. B..

The Intercept Theorem - If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. AP || BQ || CR. The intercepts AB and BC are equal. PQ, QR are the intercepts on any other line. PQ = QR Through A and B draw ..

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of i..