the length of a perpendicular segment from the point to the line
The point that is equal distance from the endpoints of a line segment is the midpoint.
The length of the line segment BB' is equal to the distance between point B and point B'.
It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.
It is going to look like a somewhat of a quadratic parabola.
Not necessarily. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Displacement can be less than, equal to, or greater than distance depending on the path taken.
It is a point on the number line, at a distance equal to x, to the left of 90.
Distance and displacement can be the same only if an object moves in a straight line from its starting point and the displacement is measured along that line. In such cases, the magnitude of the displacement is equal to the distance traveled.
Yes.
The line ( y = 3 ) is a horizontal line. The distance from the point ( (5, 4) ) to this line can be found by calculating the vertical distance between the point and the line. Since the y-coordinate of the point is 4 and the line is at ( y = 3 ), the distance is ( |4 - 3| = 1 ). Therefore, the distance from the point ( (5, 4) ) to the line ( y = 3 ) is 1 unit.
The distance is 0.
Yes, in a reflection, all points move the same distance from their original positions to their reflected positions. This distance is equal to the perpendicular distance from the point to the line of reflection. Each point is reflected across the line, resulting in a symmetrical arrangement relative to that line. Therefore, the transformation maintains consistent distance for all points involved.
That's the torque due to the force.