MHB Class 9 Mathematics Part II Chapter 1. Basic concepts in Geometry

MHB Class 9 Mathematics Part II
Chapter

1. Basic concepts in Geometry

Practice Set 1.1

1. Find the distances with the help of the number line given below. i. d(B, E) ii. d(j, A)…
2. If the co-ordinate of A is x and that of B is y, find d(A, B). i. x = 1, y = 7 ii. x =…
3. From the information given below, find which of the point is between the other two. If…
4. On a number line, points A, B and C are such that d (A, C) = 10, d (C, B) = 8 Find d(A,…
5. Points X, Y, Z are collinear such that d (X, Y) = 17, d (Y, Z) = 8 find d(X, Z).…
6. Sketch proper figure and write the answers of the following questions. i. If A - B - C…
7. Which figure is formed by three non-collinear points?

Practice Set 1.2

1. The following table shows points on a number line and their co-ordinates. Decide…
2. Point M is the midpoint of seg AB. If AB = 8 then find the length of AM.…
3. Point P is the midpoint of seg CD. If CP = 2.5, find l(CD).
4. If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.
5. Write the answers to the following questions with reference to figure 1.13. i. Write…
6. Answer the questions with the help of figure 1.14. i. State the points which are…
   

Practice Set 1.3

1. Write the following statements in ‘if-then’ form. i. The opposite angles of a…
2. Write converses of the following statements. i. The alternate angles formed by two…

Problem Set 1

1. Select the correct alternative from the answers of the question given below. How many…
2. How many points are there in the intersection of two distinct lines? Select the…
3. How many lines are determined by three distinct points? Select the correct alternative…
4. Find d(A, B), if co-ordinates of A and B are - 2 and 5 respectively. Select the…
5. If P - Q - R and (P, Q) = 2, d(P,R) =10, then find d(Q, R). Select the correct…
6. On a number line, co-ordinates of P, Q, R are 3, - 5 and 6 respectively. State with…
7. Co-ordinates of some pairs of points are given below. Hence find the distance between…
8. Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the…
9. Answer the following questions. i. If A - B - C and d(A,C) = 17, d(B,C) = 6.5 then d…
10. Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on…
11. Write the following statements in conditional form. i. Every rhombus is a square. ii.…
12. Write the converse of each of the following statements. i. If the sum of measures of…
13. Write the antecedent (given part) and the consequent (part to be proved) in the…
14. Draw a labelled figure showing information in each of the following statements and…