Angle between Lines (Leaving Cert Mathematics): Quizzes

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Angle between Lines
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11 questions from this quiz

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What does the angle between two intersecting lines measure?

Inclination of one line relative to other

What is the formula for the angle θ\theta between two lines with slopes m1m_1 and m2m_2?

tanθ=m2m11+m1m2\tan \theta = |\frac{m_2 - m_1}{1 + m_1m_2}|

What is the condition for two lines to be perpendicular?

m1m2=1m_1m_2 = -1

What is the angle between two perpendicular lines?

9090^\circ

What is the condition for two lines to be parallel?

m1=m2m_1 = m_2

What is the angle between two parallel lines?

00^\circ

Find the angle between y=2x+3y = 2x + 3 and y=12x+1y = -\frac{1}{2}x + 1.

9090^\circ

Are the lines y=3x+2y = 3x + 2 and y=3x5y = 3x - 5 parallel?

Yes, because m1=m2=3m_1 = m_2 = 3

What is the first step in calculating the angle between two lines?

Identify the slopes of the lines

For a vertical line and non-vertical line, what is tanθ\tan \theta equal to?

m2|m_2|

What constraint applies to the angle formula tanθ=m2m11+m1m2\tan \theta = |\frac{m_2 - m_1}{1 + m_1m_2}|?

1+m1m201 + m_1m_2 \neq 0

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