gesture line
Chat with our AI personalities
To show that the perpendicular line segment is the shortest among all line segments drawn from a given point not on it, we can use the Pythagorean theorem. Let the given point be P and the line segment be AB, with the perpendicular from P meeting AB at C. By the Pythagorean theorem, the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. In this case, PC is the hypotenuse, and AP and AC are the other two sides. Thus, AC (perpendicular line segment) will always be shorter than any other line segment AB drawn from point P.
A line segment is a line that has a point at the beginning and at the ending
line plot
line graph
A line graph, not surprisingly!