Using algebra to determine if two lines are perpendicular to one another we first must determine each line's slope. Select two known points on each line to determine the slope for the line. The Point-slope form of a linear equation is (Y1-Y2) = m(X1-X2). Therefore The slope m = (Y1-Y2)/(X1-X2) We will use these points to generate the slope equation. Line A Line B Point 1 Point 2 Point 1 Point 2 X1,Y1 X2,Y2 A1,B1 A2,B2 If the product of the slopes of two lines = -1 then the two lines are perpendicular. Using the point slope form above the equation would look like this: [(Y1-Y2)/(X1-X2)] X [(A1-A2)/(B1-B2)] = m(line A) X m(line B) Example Line A Line B Point 1 Point 2 Point 1 Point 2 0,0 3,3 3,-3 0,0 Using the above formula [(0-3)/(0-3)] X [(3-0)/(-3-0)] = [-3/-3] X [3/-3] = 1 x -1 = -1 These two lines are perpendicular.
In a way yes, Algebra 2 is essential in order for you to comprehend topics which will be in algebra. Such as finding the slope of perpendicular lines and parallel lines, those topics are presented to you in Algebra 2 and if you understand them at least 45% then by the time you get to college algebra that knowledge will be reinforced
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PERPENDICULAR
These lines are perpendicular: _|
Lines that aren't perpendicular
perpendicular crosses at a right angle, while intersecting lines don't
Perpendicular lines may form a "tee" or a "cross"
The hexagon haded 6 perpendicular lines.
If two lines are perpendicular to eachother, they have right angles. The format for perpendicular lines is: x is perpendicular to -1/x. This is called the opposite reciprocal.
= parallel + perpendicular As such no, perpendicular lines do not naturally have parallel lines. However...connect the lines in the symbols below. ++ ++ And you'll have 4 perpendicular lines, and 4 parallel lines.
PERPENDICULAR
Lines that intersect at 90 degrees are perpendicular lines
A rhombus has parallel lines but no perpendicular lines.
No. If the lines are parallel they will never meet or intersect at any point. If the lines are perpendicular they do intersect, but perpendicular lines are a special case of intersecting lines. Perpendicular lines are exactly 90 degrees from each other. Intersecting lines do not haveto be perpendicular... but perpendicular lines are always intersecting.
The only difference between perpendicular lines and intersecting lines is that perpendicular lines create a right angle at the point of intersection.
When two lines intersect at a right angle, they are "perpendicular"
No. Perpendicular lines for right angles. That is why they are called perpendicular.