Class 9 Math Chapter 14 Question Answer
Handwritten and composed notes Class 9 Math Chapter 14 Question Answer Ratio and Proportion of Chapter No.14: Ratio and Proportion notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Ratio and Proportion 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 14 Question Answer for Matriculation part-I students.
- Complete Multiple Choice Questions (MCQs) of Chapter No.14: Ratio and Proportion 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.14: Ratio and Proportion 9th class Mathematics Science group in English medium.
- Complete Chapter review exercise questions of Chapter No.14: Ratio and Proportion 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.14: Ratio and Proportion 9th class Mathematics Science group in English medium.
- Prove that a line parallel to one side of a triangle, intersecting the
other two sides, divides them proportionally.
- Prove that if a line segment intersects the two sides of a triangle
in the same ratio, then it is parallel to the third side.
- Prove that the internal bisector of an angle of a triangle divides
the side opposite to it in the ratio of the lengths of the sides
containing the angle.
- Prove that if two triangles are similar, the measures of their
corresponding sides are proportional.
- Here are the detailed 9th class math chapter 14 question answer pdf to help you prepare for your exams.
- Introduction: In this unit we will prove some theorems and corollaries involving ratio and proportions of sides of triangle and similarity of
triangles. A knowledge of ratio and proportion is necessary requirement
of many occupations like food service occupation, medications in
health, preparing maps for land survey and construction works, profit
to cost ratios etc.
- Recall that we defined ratio a : b = a / b as the Comprarison of two alike quantities a and b, called the elements (terms) of a ratio.
(Elements must be expressed in the same units). Equality of two ratios
was defined as proportion.
- That is, if a : b = c : d, then a, b, c and d are said to be in proportion.
- Similar Triangles: Equally important are the similar shapes. In particular the similar triangles that have many practical applications. For example, we know
that a photographer can develop prints of different sizes from the
same negative. In spite of the difference in sizes, these pictures look
like each other. One photograph is simply an enlargement of another.
They are said to be similar in shape. Geometrical figures can also be
similar. e.g., If then ∆ABC and ∆DEF are called similar triangles which is symbolically
written as ∆ABC ~ ∆DEF
- It means that corresponding angles of similar triangles are equal and measures of their corresponding sides are proportional.
- You can also download the 9th class math chapter 14 question answer pdf download for free.
- In other words, two congruent triangles are similar also. But two
similar triangles are not necessarily congruent, as congruence of their
corresponding sides is not necessary.
- Theorem 14.1.1: A line parallel to one side of a triangle and intersecting the other
two sides divides them proportionally.
- Given: In ∆ABC, the line l is intersecting the sides AC and AB at point E and D respectively such that ED || CB.
- To Prove: mAD:mDB = mAE:mEC
- Construction: Join B to E and C to D. From D draw DM Perpendicular AC and from E draw
EL Perpendicular AB.
- Points to be noted: (i) Two points determine a line and three non-collinear points
determine a plane. (ii) A line segment has exactly one midpoint.
(iii) If two intersecting lines form equal adjacent angles, the lines are perpendicular.