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Define centroid of a triangle.
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14-56The centroid of a triangle is the point of intersection of its medians (the line joining a vertex to the middle point of the opposite side).
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Define in-centre of a triangle.
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15-56The point of intersection of the internal bisectors of the angles of the triangle is called its in-centre.
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Define ortho-centre of a triangle.
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16-56The ortho-centre of a triangle is the point of intersection of the lines through the vertices and perpendicular to the opposite sides (altitudes) of the triangle.
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The xy-coordinate axes are translated through the point O' (4, 6). The coordinates of the point P are (2, -3) referred to new axes. Find the coordinates of P referred to the original axes.
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Define translation of axes.
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23-56in translation of axes, origin is shifted to another point in the plane but the axes remain parallel to the old axes.
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Define circum-centre of a triangle.
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25-56The point of intersection of the perpendicular bisectors of the sides of a triangle is called its circum-centre.
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What is slope or gradient of a line ?
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Find the slope and inclination of the x-axis.
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Find the slope and inclination of the line bisecting the first and third quadrant.
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37-56Inclination of the line = 45°
slop of the line = tan 45° = 1
slop of the line = tan 45° = 1
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Define slope-intercept form of a line.
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39-56The line y = mx + c is the slope-intercept form of a non-vertical straight line with slope m and y-intercept is c.
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Define Trapezium.
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52-56A quadrilateral having two parallel and two non-parallel sides is called Trapezium.
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