We're having a bit of trouble making out the line shown.
"ab" and "ac" would not be the labels of a point ... they would be the labels
of two line segments both emanating from the same point called "a".
So your point has to be either 'b' or 'd' or both. We'll be able to put a finer point
on it if you'll let us have a look at the picture of the line that goes along with the
question.
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
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.
If point a has coordinates (x1,y1), and point b has coordinates (x2, y2), then the slope of the line is given by the formula: m = (y2-y1)/(x2-x1).
Draw and label line Ab
3
The difference is that lines go on forever and line segments start at a certain point and ends at a certain point.
When point P lies outside of the line segment AB, it can divide AB externally as shown in this diagram:The formulas for external division are as follows:
That is correct. The distance from a point C to a line AB is the length of the perpendicular segment drawn from point C to line AB. This forms a right angle, creating a right triangle with the segment as the hypotenuse. The length of this perpendicular segment is the shortest distance from the point to the line.
C is not on the line AB.
perpendicular by Deviin Mayweather of Boyd Anderson
C is not on the line AB.
mdpt: point line or plane that bisects a line so that AB=BC. mdpt theorem: point or plane that bisects a line so that AB is congruent to BC.
Any line that is parallel to another line will have the same slope. So if line AB's slope is zero and line CD is parallel to AB, then its slope will also be zero. The slope of line CD, when perpendicular to AB, will be infinity. If line AB has a slope of zero that means its just a horizontal line passing some point on the y-axis. A line that is perpendicualr to this one will pass through some point on the x-axis and therefore have an infinite slope.
Place the point if the compass on point B and draw an arc across AB.
perpendicular
the midpoint of
In the symbol AB, the letter A represents the starting point or origin of the line segment.