Last updated on Sep 23, 2026

Parallel/Perpendicular Lines (Leaving Cert Mathematics): Quizzes

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Parallel Lines

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What is the defining property of parallel lines?

They never intersect

If two lines $l_1$ and $l_2$ are parallel, what is true about their slopes $m_1$ and $m_2$ ?

$m_1 = m_2$

Are the lines $y = 3x + 4$ and $y = 3x - 2$ parallel?

Yes, same slope

Can parallel lines have the same y-intercept?

No, never unless coincident

When are vertical lines parallel?

When $x = k_1$ and $x = k_2$ , $k_1 \neq k_2$

In $y = mx + c$ , what does $m$ represent?

The slope

What angles are equal when parallel lines are cut by a transversal?

Corresponding angles

What can be said about alternate interior angles when parallel lines are cut by a transversal?

They are equal

What is true about alternate exterior angles for parallel lines cut by a transversal?

They are equal

Are $y = 2x + 3$ and $y = 2x - 5$ parallel?

Yes, $m_1 = m_2 = 2$

What formula finds a line parallel to $y = mx + c$ through point $(x_1, y_1)$ ?

$y - y_1 = m(x - x_1)$

Explore Leaving Cert Mathematics Revision Notes by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Model Answers by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Flashcards by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Exam Questions by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

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