Class 9 Math Chapter 12 Question Answer
Handwritten and composed notes Class 9 Math Chapter 12 Question Answer Line Bisectors and Angle Bisectors of Chapter No.12: Line Bisectors and Angle Bisectors Notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Line Bisectors and Angle Bisectors for the students of Mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important notes of Class 9 Math Chapter 12 Question Answer for Matriculation part-I students.
- Complete Multiple Choice Questions (MCQs) of Chapter No.12: Line Bisectors and Angle Bisectors 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.12: Line Bisectors and Angle Bisectors 9th class Mathematics Science group in English medium.
- Complete Chapter review exercise questions of Chapter No.12: Line Bisectors and Angle Bisectors 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.12: Line Bisectors and Angle Bisectors 9th class Mathematics Science group in English medium.
- Prove that any point on the right bisector of a line segment is
equidistant from its end points.
- Prove that any point equidistant from the end-points of a line
segment is on the right bisector of it.
- Prove that the right bisectors of the sides of a triangle are
concurrent.
- Prove that any point on the bisector of an angle is equidistant
from its arms.
- Prove that any point inside an angle, equidistant from its arms, is
on the bisector of it.
- Prove that the bisectors of the angles of a triangle are concurrent.
- Here are the detailed 9th class math chapter 12 question answer pdf to help you prepare for your exams.
- Introduction: In this unit, we will prove theorems and their converses, if any, about Right bisector of a line segment and bisector of an angle.
But before that it will be useful to recall the following definitions:
- Right Bisector of a Line Segment: A line is called a right bisector of a line segmentitis perpendicular
to the line segment and passes through its midpoint.
- Bisector of an Angle: A ray BP is called the bisector of ∠ABC, if P is a point in the interior of the angle and m∠ABP = m∠PBC.
- Theorem 12.1.1: Any point on the right bisector of a line segment is equidistant from its end-points.
- Given: A line LM intersects the line segment AB at
the point C. Such that LM Perpendicular AB and AC ≅ BC. P is a point on LM.
- To Prove: PA ≅ PB, Construction: Join P to the points A and B.
- You can also download the 9th class math chapter 12 question answer pdf download for free.
- Theorem 12.1.2: { Converse of Theorem 12.1.1 } Any point equidistant from the end points of a line segment
is on the right bisector of it.
- Given: AB is a line segment. Point P is such that PA ≅ PB.
- To Prove: The point P is on the right bisector of AB.
- Construction: Joint P to C, the mid-point of AB.
- 1. Prove that the centre of a circle is on the right bisectors of each of
its chords.
- 2. Where will be the centre of a circle passing through three non-collinear points? And why?
- 3. Three villages P, Q and R are not on the same line. The people of
these villages want to make a Children Park at such a place which
is equidistant from these three villages. After fixing the place of
Children Park, prove that the Park is equidistant from the three
villages.
- Theorem 12.1.3: The right bisectors of the sides of a triangle are concurrent.
- Given: ∆ABC, To Prove: The right bisectors of AB, BC and CA are concurrent.