Draw a vertical line through the center point, intersecting original line at two points. Then draw a circle with center at each intersection point, same radius. Their intersection is on the perpendicular line. Draw a line through the center point and the circle intersection point.
The image shows a coordinate plane with a line drawn through the points (5, 6) and (3, 2). The line is horizontal, meaning that it has a slope of 0. A perpendicular line to this line will have an infinite slope and will therefore be a vertical line
To draw the perpendicular line through the yellow center, we can use the following steps:
1. Place the compass at the yellow center, which is the point (4, 4).
2. Draw an arc of any radius that intersects the line at two points, A and B.
3. Place the compass at point A and draw an arc with the same radius as in step 2.
4. Place the compass at point B and draw an arc with the same radius as in step 2.
5. The point of intersection of the two arcs, C, is on the perpendicular line.
6. Draw a line through points C and (4, 4). This line is the perpendicular line to the original line through (5, 6) and (3, 2).
The perpendicular line intersects the x-axis at the point (4, 0) and the y-axis at the point (4, 8).
Two lines are said to be perpendicular if they intersect at a right angle, which is a 90 degree angle. Perpendicular lines are often used in geometry and engineering to create square and rectangular shapes.
One way to think about perpendicular lines is to imagine a railroad track. The two rails of the track are perpendicular to each other, meaning that they intersect at a right angle. If you were to place a train on the tracks, it would be able to travel in a straight line without tipping over.
Another way to think about perpendicular lines is to imagine a door and its frame. The door is perpendicular to the frame, meaning that it intersects the frame at a right angle. This allows the door to open and close smoothly.
Perpendicular lines are used in many different ways in the real world. For example, architects use perpendicular lines to create square and rectangular buildings. Engineers use perpendicular lines to design bridges and other structures. And carpenters use perpendicular lines to build furniture and other objects.