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Summary
Construction of an angle equal to a given angle. Bisecting an angle To construct angles 60 o , 120 o and 30 o . To construct angles 90 o , 45 o and 135 o . To construct angles 75 o and 105 o . Drawing the perpendicular bisector of line segment AB. Constructi..
Theorem 3 (S.S.S.) Similarity
If three pairs of corresponding sides are proportional then the two triangles are similar. In D ABC and D PQR, D ABC ~ D PQR The above three theorems are without proof. Such theorems can be called postulates. Now, let us compare similar triangles and congruent triangles: In PQ || BC, AP = 7.2 cm, A..
If three pairs of corresponding sides are proportional then the two triangles are similar. In D ABC and D PQR, D ABC ~ D PQR The above three theorems are without proof. Such theorems can be called postulates. Now, let us compare similar triangles and congruent triangles: In PQ || BC, AP = 7.2 cm, A..Construction - 3
To construct angles of 60 o , 120 o and 30 o..
Example:
Name the quadrants in which the following points lie A (-6,1), B (8, -4), C (4,6), D (-7, -7), E (0,5), F (9,0), G (-6,0), H (0, -8..
Construction - 3
To construct angles of 60 o , 120 o and 30 o (i) Draw a line AB. (ii) With A as centre, taking any suitable radius, draw an arc which cuts AB at P. (iii) With P as centre and the same radius, cut the arc at Q. (iv) From Q, with the same radius, cut the arc at R. (v) Join AQ and ..
To construct angles of 60 o , 120 o and 30 o (i) Draw a line AB. (ii) With A as centre, taking any suitable radius, draw an arc which cuts AB at P. (iii) With P as centre and the same radius, cut the arc at Q. (iv) From Q, with the same radius, cut the arc at R. (v) Join AQ and ..Theorem 1
each exterior angle = 180 o - 144 o = 36 o . Number of sides = 10 The sum of the interior of a regular polygon is 1080 o . How many sides are there? The sum of the interior angles = (2n - 4) x 90 o = 1080 o (2n - 4) x 90 = 1080 2n - 4..
each exterior angle = 180 o - 144 o = 36 o . Number of sides = 10 The sum of the interior of a regular polygon is 1080 o . How many sides are there? The sum of the interior angles = (2n - 4) x 90 o = 1080 o (2n - 4) x 90 = 1080 2n - 4..Question 9
AB 2 = 16 + 36 = 52 sq.units ||| ..
AB 2 = 16 + 36 = 52 sq.units ||| ..Inequalities
. In Find the greatest side. In - sum of the angles A and B. = 180 o - (68 o + 52 o ) = 60 o is the greatest angl..
. In Find the greatest side. In - sum of the angles A and B. = 180 o - (68 o + 52 o ) = 60 o is the greatest angl..Fundamental problems of Analytical Geometry
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..Complementary and Supplementary angles
If the sum of the two angles is one right angle (i.e., 90 o ), they are called complementary angle..
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