Parallel and Perpendicular Lines (VCE SSCE Mathematical Methods): Flashcards

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Parallel and Perpendicular Lines
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Condition for two lines to be parallel

Identical gradients

Product of gradients of perpendicular lines

1-1

Gradient of line perpendicular to one with gradient mm

- rac{1}{m}

Point-slope form equation

yy1=m(xx1)y - y_1 = m(x - x_1)

What parallel lines never do

Intersect

Gradient equals this trig function of angle θ\theta

tanθ\tan \theta

Angle at which perpendicular lines meet

Right angle (90°)

Lines with equal angles to positive xx-axis are

Parallel

To prove perpendicularity, verify this equals 1-1

Product of both gradients

Perpendicular to gradient 22

12-\frac{1}{2}

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