Which of the following statements are true?
2 answers:
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Answer:
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
Step-by-step explanation:
"Alternate" means the angles are on opposite sides of the transversal.
"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.
"Exterior" means the angles are outside the parallel lines.
"Interior" means the angles are between the parallel lines.
"Corresponding" means the angles are in the same direction from the point of intersection.
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
