Parallel/Perpendicular Lines (Leaving Cert Mathematics): Flashcards

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Parallel Lines
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Definition of parallel lines

Lines that do not intersect, no matter how far extended

Slope condition for parallel lines

Same slope: m1=m2m_1 = m_2

General equation of a line

y=mx+cy = mx + c

What does mm represent in y=mx+cy = mx + c?

Slope

What does cc represent in y=mx+cy = mx + c?

yy-intercept

How to check if lines are parallel

Compare their slopes

Intercept condition for parallel lines

Different cc values (unless coincident)

Vertical parallel lines equation form

x=k1x = k_1 and x=k2x = k_2, where k1eqk2k_1 eq k_2

Angle type 1: transversal cuts parallel lines

Corresponding angles are equal

Angle type 2: transversal cuts parallel lines

Alternate interior angles are equal

Angle type 3: transversal cuts parallel lines

Alternate exterior angles are equal

Slope of line parallel to y=3x+7y = -3x + 7

m=3m = -3

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