Corollaries of Parallel Lines and Transversals (Leaving Cert Mathematics): Quizzes
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Practise the questions
10 questions from this quiz
What are the two main angle relationships created when a transversal crosses parallel lines?
What are the two main angle relationships created when a transversal crosses parallel lines?
Alternate and corresponding angles
According to Corollary 3, what is true about alternate angles when lines are parallel?
According to Corollary 3, what is true about alternate angles when lines are parallel?
Alternate angles are equal
Where do alternate angles lie relative to the transversal?
Where do alternate angles lie relative to the transversal?
Opposite sides of the transversal
Why are alternate angles congruent when lines are parallel?
Why are alternate angles congruent when lines are parallel?
Parallel lines ensure consistent spacing
According to Corollary 4, what is true about corresponding angles when lines are parallel?
According to Corollary 4, what is true about corresponding angles when lines are parallel?
Corresponding angles are equal
Where do corresponding angles lie relative to the transversal?
Where do corresponding angles lie relative to the transversal?
Same side of the transversal
If one alternate angle measures , what do the other alternate angles measure?
If one alternate angle measures , what do the other alternate angles measure?
If a corresponding angle is , what are all other corresponding angles?
If a corresponding angle is , what are all other corresponding angles?
What is the key difference in position between alternate and corresponding angles?
What is the key difference in position between alternate and corresponding angles?
Opposite vs same side of transversal
Why are these corollaries important in geometry?
Why are these corollaries important in geometry?
Key to solving parallel line problems