Prove that given a line and point not on that line, there exactly one line that passes through that point perpendicular through that line? You can do this mathematically or through construction (the ancient Greeks did)?
1 Answer
See Below.
Explanation:
Let's Assume That The Given Line is
Now, Let's assume, We have drawn a perpendicular
We have to prove that, This
Now, we will use a construction.
Let's construct another perpendicular
Now The Proof.
We have,
And, Also,
So,
Now Both
That means, they should coincide.
So,
Thus, There is only one line passing through point
Hope this helps.