1) Write a program that draws the coordinate system and some geometric shapes on the console screen as described below.
Ask the user to select one of the following shapes: 1. Line
2. Rectangle
3. Triangle
4. Parabola
5. Circle
Line -> If the user selects to draw a line, ask for the coefficients a and b that describe the line on the coordinate system such that y = ax + b.
Triangle -> If the user selects to draw a triangle, ask for the coordinates of the three vertices vertex 1 (a, b), vertex 2 (c, d), and vertex 3 (e, f) that describe the triangle.
Rectangle -> If the user selects to draw a rectangle, ask for the coordinates of the three vertices vertex 1 (a, b), vertex 2 (c, d), and vertex 3 (e, f) that describe the rectangle. Vertex 2 and vertex 3 are in the neighborhood of vertex 1, and vertex 4 is in the opposite of vertex 1, i.e. the first diagonal is between vertex 1 and vertex 4, and the second one is between vertex 2 and vertex 3. You will the coordinates of vertex 4 using the information for other vertices. Also, you will check whether the points given construct a rectangle; if not, you will notice the user and will not the the rectangle.
Parabola -> Similarly, for the parabola, ask for the coefficients a, b, c to draw the parabola for the equation y = ax2 + bx + c.
Circle -> Finally, for the circle, ask for the radius (r) and the center (a, b) to define the circle equation(x-a)2 +(y-b)2 =r2.
After getting required parameters, draw the coordinate system on the console screen using the characters – and |. Draw the geometric shape using the character *.
Both x and y values in the coordinate system should range at least in [-10, 10]. You may draw a larger coordinate system as it will look clearer. However, make sure that your coordinate system fits in the console screen.
Sample run of the program is as follows:
Which shape would you like to draw? 1. Line 2. Triangle 3. Rectangle
4. Parabola 5. Circle 6.Exit 1
Line formula is y = ax + b Please enter the coefficients a and b:-1 3
*y *| *| *| *| *| *| *
|*
|* ———-|–*——-x
|* |* |* |* |* |* |* |* |
| |
Which shape would you like to draw? 1. Line 2. Triangle 3. Rectangle
4. Parabola 5. Circle 6.Exit 2
For triangle, we need the coordinates of the points for three vertices. Please enter the coordinates of 3 vertices a, b, c, d, e, f:-5 3 0 6 5 3
y
|
|
|
* *|* *|* *|* *********** |
----------|----------x
|
| | | | | | | | | |
Which shape would you like to draw?
1. Line 2. Triangle 3. Rectangle 4. Parabola 5. Circle 6.Exit 3
For rectangle, we need the coordinates of the points for three vertices. Please enter the coordinates of 3 vertices a, b, c, d, e, f:-5 3 5 3 -5 9
y
|
|
|
|
|
|
| *********** *|*
—–*—-|—-*—–x *|*
*|* *|* *|* *|* *|* *|* *|* *********** |
|
Which shape would you like to draw? 1. Line 2. Triangle 3. Rectangle
4. Parabola 5. Circle 6.Exit 4
Parabola formula is y = ax^2 + bx + c Please enter the coefficients a, b and c:1 -6 2
y
*| *
|
|
|
|
|
| ** |
----------|----------x
|
|
|* * |
| |** |*
| | |
Which shape would you like to draw? 1. Line 2. Triangle 3. Rectangle
4. Parabola 5. Circle 6.Exit 5
Circle formula is (x-a)^2 + (y-b)^2 = r^2 Please enter the coordinates of the center (a,b) and the radius:3 4 5
y
|* **
*| * |
| *|*
|
|
*| *
———-*—–*—-x |*
| | | | | | | | | |
Which shape would you like to draw? 1. Line 2. Triangle 3. Rectangle
4. Parabola 5. Circle 6.Exit 6
4/5
