Constructions Class 10 PPT

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CONSTRUCTION
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CONSTRUCTION
CONSTRUCTION
To divide the given line segment in a given ratio
Let us divide the line segment in the ratio 2:3
STEPS OF CONSTRUCTION
1. Draw line  segment AB
2. Draw  any ray AX, making an acute  with AB. 
3. Locate 5 (= m + n) points A1 , A2 , A3 , A4 and A5 on AX by 
drawing equal arcs
4. Join BA5.
5.    Through the point A3 (m = 3), draw a line parallel to A5B      
(by making an angle equal to A A5B) at A3 intersecting AB at 
the point C Then, AC : CB = 3 : 2.
Page 3


CONSTRUCTION
CONSTRUCTION
To divide the given line segment in a given ratio
Let us divide the line segment in the ratio 2:3
STEPS OF CONSTRUCTION
1. Draw line  segment AB
2. Draw  any ray AX, making an acute  with AB. 
3. Locate 5 (= m + n) points A1 , A2 , A3 , A4 and A5 on AX by 
drawing equal arcs
4. Join BA5.
5.    Through the point A3 (m = 3), draw a line parallel to A5B      
(by making an angle equal to A A5B) at A3 intersecting AB at 
the point C Then, AC : CB = 3 : 2.
Page 4


CONSTRUCTION
CONSTRUCTION
To divide the given line segment in a given ratio
Let us divide the line segment in the ratio 2:3
STEPS OF CONSTRUCTION
1. Draw line  segment AB
2. Draw  any ray AX, making an acute  with AB. 
3. Locate 5 (= m + n) points A1 , A2 , A3 , A4 and A5 on AX by 
drawing equal arcs
4. Join BA5.
5.    Through the point A3 (m = 3), draw a line parallel to A5B      
(by making an angle equal to A A5B) at A3 intersecting AB at 
the point C Then, AC : CB = 3 : 2.
Page 5


CONSTRUCTION
CONSTRUCTION
To divide the given line segment in a given ratio
Let us divide the line segment in the ratio 2:3
STEPS OF CONSTRUCTION
1. Draw line  segment AB
2. Draw  any ray AX, making an acute  with AB. 
3. Locate 5 (= m + n) points A1 , A2 , A3 , A4 and A5 on AX by 
drawing equal arcs
4. Join BA5.
5.    Through the point A3 (m = 3), draw a line parallel to A5B      
(by making an angle equal to A A5B) at A3 intersecting AB at 
the point C Then, AC : CB = 3 : 2.