Corollaries of Parallel Lines and Transversals (Leaving Cert Mathematics): Flashcards

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Corollaries of Parallel Lines and Transversals
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Corollary 3: Alternate angles (|| lines + transversal)

Alternate angles are equal

Corollary 4: Corresponding angles (|| lines + transversal)

Corresponding angles are equal

Alternate angles: which side of transversal?

Opposite sides of transversal

Corresponding angles: which side of transversal?

Same side of transversal

Alternate angles: between the parallel lines?

Yes, within bounds of parallel lines

Corresponding angles: vertical position?

One above, one below parallel lines

Why are alternate angles congruent?

Parallel lines ensure consistent spacing & alignment

Why are corresponding angles equal?

Parallelism ensures equal spacing

Alternate angle is 65°65°, others = ?

65°65°

Corresponding angle is 70°70°, all others = ?

70°70°

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