Q5 of 7 Page 22

Draw a right angled ∆XYZ. Draw its medians and show their point of concurrence by G.

To draw an right angled ∆XYZ.

i. Draw a base line of any length, mark it YZ. At Y draw a right angle mark that line point X. Join X and Z points. ΔXYZ thus formed is right angled triangle.



ii. Find the mid-point A of side YZ, by constructing the perpendicular bisector of the line segment YZ. Draw AX.



iii. Find the mid-point B of side XZ, by constructing the perpendicular bisector of the line segment XZ. Draw seg BY.



iv. Find the mid-point C of side XY, by constructing the perpendicular bisector of the line segment XY. Draw seg CZ.



Seg AX, seg BY and seg CZ are medians of ∆XYZ.


Their point of concurrence is denoted by G.


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