CBSE Class 9 Mathematics Introduction To Euclids Geometry Worksheet Set 01

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DEPARTMENT OF MATHEMATICS
 
CLASS IX
 
CO-ORDINATE AND EUCLID’S GEOMETRY
 
SECTION A: 
 
 
1. In which quadrants the abscissa of a point is positive.
 
2. Name the quadrants in which the following points lie P(-5,-7) Q (5,-4), R(-7,6) and S(2,-6)
 
3. Name the axis in which the following points lie A (5 , 0); B(0 , -5); C(-6 , 0); D(0 ,-3)
 
 
SECTION B: 
 
4. Solve using appropriate Euclid’s axioms: If x + y = 10 and that x = z. Show that z + y = 10.
 
5. Find the image of point (-4, -7) with respect to y-axis and x-axis.
 
6. Draw a quadrilateral whose vertices are (3, 2), (2, 3), (-4, 5) and (5, -3).
 
7. In the fig 1, ΔABC and ΔABD are equilateral triangles. The coordinates of A and B are (-a, 0) and (a, 0). Find the co-ordinates of points C and D. (NCERT Exemplar)
 
8. In the fig2, we have AC = DC, CB = CE. Show that AB = DE.
CBSE Class 9 Mathematics Introduction To Euclids Geometry Worksheet Set A 1
 
9. In the given figure, we have 1=2 and3=4. Show that ABC = DBC. State the Euclid’s axiom used in this.
CBSE Class 9 Mathematics Introduction To Euclids Geometry Worksheet Set A 2
 
SECTION C: 
 
10. The perpendicular distances from the respective axis are given as follows. Write the coordinates and the quadrant in which it lies.
 
(i) distance from the x-axis is 4 units and that from the y-axis is 5 units
 
(ii) 3 units above the x-axis and 2 units to the left of the y-axis
 
(iii) 4 units below the x-axis and 7 units to the left of the y-axis (NCERT Exemplar)
 
11. Find out from the following from fig 3:
 
(i) coordinates of B     (ii)abscissa of point D    (iii)ordinate of point F
 
(iv) coordinates of E   (v)abscissa of point C    (vi) coordinates of A
 
12. In the fig 4 we haveABC =ACB and 3 = 4. Show that 1=2.
CBSE Class 9 Mathematics Introduction To Euclids Geometry Worksheet Set A 3
 
SECTION D: 
 
Justify the following using Euclid’s axiom
 
13. Sunil and Shyam have the same weight. If each gain weight by 5 kg, how will their new weight be compared using the axioms? Write the Euclid’s axiom that best supports your answer?
 
14. Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.
 
15. In the fig AC= XD. C is the midpoint of AB and D is the midpoint of XY. Show that AB = XY

CBSE Class 9 Mathematics Introduction To Euclids Geometry Worksheet Set A 4

 

 

 

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Chapter 05 Introduction To Euclid's Geometry Practice Sheet and Solutions for Class 9 Mathematics

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