AIM-
To create the geometries from P1 to P2 using all the coordinates system methods. We need to use the Line tool to create the geometries and to find out the missing dimensions before working on the sketches.
Civil Related Problems
To draw the profile and the trusses using any coordinate system methods. The dimensions are there for references.
INTRODUCTION-
As per the coordinate system, in AutoCAD there are two types of coordinate system followed, Cartesian and Polar coordinate system.
The coordinate system is a system which is used to find the location of a point by using two or more numbers in X and Y axis or in Z axis.
PROCEDURE-
In autocad the coordinates can be found by writting the coordinates or using mouse after enabling the grid mode (F7). The following drafting settings are used for the following geometries.


All the CAD files are attached with this answer.
Commands used are:
Line command, Dimlinear command, Dimangular command, Text command, Circle command.
- Absolute Coordinate system- All the points and coordinates are established from the origin point (0,0).
- Relative coordinate system- It is used to locate the position of a point in a plane from a reference point. Every other points are taken from the origin (0,0) and all successive points are established from its preceding point.
- Polar coordiante system- When each point on a plane of a two-dimensional coordinate system is decided by a distance from a reference point and an angle is taken from a reference direction, it is known as the polar coordinate system.
- Direct Distance Entry Method
Challenge1 P1-

By Absolute coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (2,1)
- Enter next point as (8,1)
- Enter next point as (8,2)
- Enter next point as (3,2)
- Enter next point as (3,6)
- Enter next point as (8,6)
- Enter next point as (8,7)
- Enter next point as (2,7)
- Enter next point as (2,1) or enter c (close command) to get the first point.
Challenge1 P2-

By Polar coordinate system:
- Select the line tool or l enter in command line.
- Specify the first coordinate as (2,1) in the command line
- Enter next point as @3<0 in command line
- Enter next point as @4<90 in command line
- Enter next point as @1<0 in command line
- Enter next point as @4<270 in command line
- Enter next point as @3<0 in command line
- Enter next point as @7<106 in command line
- Enter next point as @3<180 in command line
- Enter c (close command) to get the initial point
Challenge1 P4-

By Absolute coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (2,1)
- Enter next point as (3,1)
- Enter next point as (3,5)
- Enter next point as (5,3)
- Enter next point as (7,5)
- Enter next point as (7,1)
- Enter next point as (3,1)
- Enter next point as (8,8)
- Enter next point as (7,8)
- Enter next point as (5,5)
- Enter next point as (3,8)
- Enter next point as (2,8)
- Enter next point as (2,1) or enter c (close command) to get the first point.
Challenge1 P5-

By Relative Coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (2,1) in the command line
- Enter next point as @1,0 in the command line
- Enter next point as @0,7 in the command line
- Enter next point as @5,0 in the command line
- Enter next point as @0,-6 in the command line
- Enter next point as @-3,0 in the command line
- Enter next point as @0,-1 in the command line
- Enter next point as @4,0 in the command line
- Enter next point as @0,8 in the command line
- Enter next point as @-7,0 in the command line
- Enter next point as @0,-8 in the command line or enter c (close command) to get the first point.
Challenge1 P7-

By Absolute coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (2,1)
- Enter next point as (10,1)
- Enter next point as (10,7)
- Enter next point as (2,7)
- Enter c (close command) and again select the line tool or l enter in command line
- Enter next point as (3,2)
- Enter next point as (5,2)
- Enter next point as (5,5)
- Enter next point as (3,5)
- Enter c (close command) and again select the line tool or l enter in command line
- Enter next point as (6,2)
- Enter next point as (8,2)
- Enter next point as (8,5)
- Enter next point as (6,5)
- Enter c (close command) to get the first point.
Challenge1 P8-

By Relative Coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (0,0) in the command line
- Enter next point as @10,0 in the command line
- Enter next point as @0,2 in the command line
- Enter next point as @-4,0 in the command line
- Enter next point as @0,4 in the command line
- Enter next point as @3,0 in the command line
- Enter next point as @0,2 in the command line
- Enter next point as @-8,0 in the command line
- Enter next point as @0,-2 in the command line
- Enter next point as @3,0 in the command line
- Enter next point as @0,-4 in the command line
- Enter next point as @-4,0 in the command line or enter c (close command) to get the first point.
Challenge1 P8-

By Absolute coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (1,1)
- Enter next point as (6,1)
- Enter next point as (6,3)
- Enter next point as (3,3)
- Enter next point as (3,2)
- Enter next point as (2,2)
- Enter next point as (2,4)
- Enter next point as (3,4)
- Enter next point as (5,6)
- Enter next point as (1,8)
- Enter c (close command) to get the first point.
Challenge1 P10-

By Relative Polar Coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (1,1) in the command line
- Enter next point as @2<0 in the command line
- Enter next point as @3<90 in the command line
- Enter next point as @3<0 in the command line
- Enter next point as @5<-180 in the command line
- Enter c (close command)
- Enter next point as @4<90 in the command line
- Select the line tool or l enter in command line
- Enter next point as @3<0 in the command line
- Enter next point as (5,2) in the command line
- Enter next point as @2<90 in the command line
- Enter next point as @3<180 in the command line
- Enter c (close command) to get the first point.
Civil related problems- To Draw the profile and the trusses using any coordinate system methods.

By Direct Distance Entry Method:
- Select the line tool or l enter in command line.
- Enter first point as (0,0) in the command line
- Enter the length as 10 in command line taking the mouse towards +ve side of x axis.
- Enter the length as 1 in command line taking the mouse towards +ve side of y axis.
- Enter the length as 2 in command line taking the mouse towards -ve side of x axis.
- Enter the length as 4 in command line taking the mouse towards +ve side of y axis.
- Enter the length as 2 in command line taking the mouse towards +ve side of x axis.
- Enter the length as 1 in command line taking the mouse towards +ve side of y axis.
- Enter the length as 5.831 in command line at an angle of <149.036 +ve side of x axis keeping polar tracking on.
- Enter the length as 5.831 in command line at an angle of <210.964 +ve side of x axis keeping polar tracking on.
- Enter the length as 2 in command line taking the mouse towards +ve side of x axis.
- Enter the length as 5 in command line taking the mouse towards -ve side of y axis.
- Enter the length as 2 in command line taking the mouse towards +ve side of x axis.
- Enter c (close command)
- Select circle tool by entering C command in the command line.
- Taking centre of circle as 5,4 draw a radius of 2.
Challenge1 Queen Post Truss-

By Relative Coordinate system:
- Select the line tool or l enter in command line.
- Enter first point as (1,1) in the command line
- Enter next point as @4,0 in the command line
- Enter next point as @3.536,3.536 in the command line
- Enter next point as @3.536,-3.536 in the command line
- Enter next point as @0,-4 in the command line
- Press Esc (Escape) button to cancel line command
- Select the line tool or l enter in command line.
- Join the cordinate points in 2 and 5
- Press Esc (Escape) button to cancel line command
- Enter next point as @0,-1 in the command line
- Press Esc (Escape) button to cancel line command
- Select the line tool or l enter in command line.
- Enter next point as @4.536,5 in the command line
- Enter next point as @-2.5361,1 in the command line
- Enter next point as @0,-1 in the command line
- Press Esc (Escape) button to cancel line command
- Select the line tool or l enter in command line.
- Enter next point as @4.536,5 in the command line
- Enter next point as @2.5361,1 in the command line
- Join points 4 and 19.
- Press Esc (Escape) button to cancel line command
Challenge1 Mono Pitch-

By Absolute coordinate system:
- Select the line tool or l enter in command line and specify the first point.
- Enter first point as (1,1)
- Enter next point as (7,1)
- Enter next point as (7,3)
- Enter C (close command)
- Select the line tool or l enter in command line
- Enter next point as (3,1)
- Enter next point as (3,1.667)
- Enter next point as (5,1)
- Enter next point as (5,2.333)
- Enter next point as (7,1)
- Press Esc (Escape) button to cancel line command