# Python: Test AB and CD are orthogonal or not

## Python Basic - 1: Exercise-55 with Solution

There are four different points on a plane, P(x_{p},y_{p}), Q(x_{q}, y_{q}), R(x_{r}, y_{r}) and S(x_{s}, y_{s}). Write a Python program to determine whether AB and CD are orthogonal.

**Input:**

x_{p},y_{p}, x_{q}, y_{q}, x_{r}, y_{r}, x_{s} and y_{s} are -100 to 100 respectively and each value can be up to 5 digits after the decimal point It is given as a real number including the number of.

Output:

Output AB and CD are not orthogonal! or AB and CD are orthogonal!.

**Sample Solution**:

**Python Code:**

```
while True:
try:
print("Input xp, yp, xq, yq, xr, yr, xs, ys:")
x_p, y_p, x_q, y_q, x_r, y_r, x_s, y_s = map(float, input().split())
pq_x, pq_y = x_q - x_p, y_q - y_p
rs_x, rs_y = x_s - x_r, y_s - y_r
rs = pq_x*rs_x + pq_y*rs_y
if abs(rs) > 1e-10:
print("AB and CD are not orthogonal!")
else:
print("AB and CD are orthogonal!")
except:
break
```

Sample Output:

Input xp, yp, xq, yq, xr, yr, xs, ys: 4.5 -2.5 -2.5 4.5 3.5 3.5 3.8 -3.5 AB and CD are not orthogonal!

**Flowchart:**

**Python Code Editor:**

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