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(2) Similarly, (ii) If ABAC, it can be proved that‘ABC >‘ACB. But this is also against the condition, (3) So neither AB!AC n ...

Theorem 13 If one angle of a triangle is greater than another, the side opposite the greater angle is greater than the side oppo ...

Let ABC be a triangle and D and E are respectively mid- points of the AB and AC. It is required to prove thatDE|| BCandDE BC 2 1 ...

Which one of the following is correct? (a) i and ii (b) i and iii (c) ii and iii (d) i, ii and iii Use the figure below to answe ...

1 6. Prove that, the difference between any two sides of a triangle is less than the third. 17. In the adjoining figure, ‘B = 1 ...

0DWK,;;)RUPD Chapter Seven Practical Geometry In the previous classes geometrical figures were drawn in proving different ...

(3) Two angles and their adjacent sides (4) Two angles and an opposite side (5) Two sides and an opposite angle (6) Hypotenuse a ...

Construction 1 The base of the base adjacent angle and the sum of other two sider of a triangle are given. Construct the triangl ...

‘ARC ‘ARD [right angle ] 'ACR#'ADR.?AC AD Now, In 'ABC,‘ABC ‘x,BC a, [by construction ] andBAAC BAAD BD s. Therefore, 'ABC is ...

Steps of Construction : (1) From any ray DF, cut the part DE equal to the perimeterp. Make angles ‘EDL equal to ‘x and ‘DEM equa ...

(5) Join A, B andA, C. Then,ABC is the required triangle. Activity : An adjacent side with the right angle and the difference of ...

(a) Four sides and an angle (b) Four sides and a diagonal (c) Three sides and two diagonals (d) Three sides and two included ang ...

Sometimes special quadrilaterals can be constructed with fewer data. In such a cases, from the properties of quadrilaterals, we ...

0DWK,;;)RUPD Construction 5 Two diagonals and a side of a parallelogram are given. Construct the parallelogram. Let a and ...

Steps of construction: From any ray AX, cut the line segment AB = a. At Aof the line segment AB, construct the angle ‘BAY =‘x an ...

Construct a parallelogram with the following data: (a) The lengths of two diagonals are 4 cm, 6˜5 cm and the included angle is ...

Chapter Eight Circle We have already known that a circle is a geometrical figure in a plane consisting of points equidistant fro ...

Chord and Diameter of a Circle The line segment connecting two different points of a circle is a chord of the circle. If the cho ...

Theorem 2 All equal chords of a circle are equidistant from the centre. Let AB and CD be two equal chords of a circle with centr ...

Proof: Steps Justification (1) Since OEAAB and OFACD. Therefore,‘OEA ‘OFC 1 right angle [ right angles ] (2) Now in the right an ...