b geometry


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Line
A line has one dimension i.e., length only. It can be extended in both directions indefinitely. or 'l' is a li..
Point
A point has position but no dimensions, no length, no breadth and no heigh..
Theorem
Theorem is a statement that is accepted as true only after proving that it is a consequence of the axiom..
Rectangular co - ordinates
The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - a..
A plane
A plane has length and breadth. It has two dimensions. Any flat surface is a plane. In our study, we deal with figures drawn on plane surfac..
(b) Reflection of a line in a line
A line XY and a line AB. The reflection of AB in XY. (i) From A, construct AM ^ XY and produce it. (ii) Obtain point A' (the reflection of A in XY) on the other side of XY, so that AM = A'M. (iii) Similarly, from B, construct BN ^ XY and produce it. (iv) Obtain point B..
Construction - 16 ( b)
To construct a triangle when the difference of two sides, the remaining side and the angle between them are gi..
(b) One diagonal and one side are given
AC = 6.5 cm and AB = 3.8 cm (i) Draw AC = 6.5 cm. (ii) With A as centre and radius 3.8 cm, draw arcs on either side of AC. (iii) With centre C and the same radius of 3.8 cm, cut these arcs at B and D. (iv) Join AB, BC, CD and AD. Then ABCD is the required rhombus...
Let the line pass through A(x1, y1) and B(x2, y2), the two given points.
Let P (x, y) be any point on the line joining A and B. Slope of AP = Slope of AB = Slope of PB The equation of the line is or..
Question 3
Question: Answer: Steps of Construction: Step 1: Draw a rough sketch as shown in figure and mark the given measurements. Step 2: Draw a ray and on it mark PX=12cm, at Step 3: Let the rays PY and XZ intersect at A. Step 4: Let the perpendicular bisectors of AP and AX in..
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