To solve the problem, we need to identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. Let's analyze each diagram step by step.
1)
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Diagram: Two parallel lines with a transversal.
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Angles: \( x \) and \( y \)
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Analysis:
- \( x \) and \( y \) are on the same side of the transversal and between the two parallel lines.
- This matches the definition of
consecutive interior angles.
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Answer: A) consecutive interior
2)
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Diagram: Two parallel lines with a transversal.
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Angles: \( x \) and \( y \)
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Analysis:
- \( x \) and \( y \) are on the same side of the transversal but outside the two parallel lines.
- This matches the definition of
corresponding angles.
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Answer: C) corresponding
3)
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Diagram: Two parallel lines with a transversal.
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Angles: \( x \) and \( y \)
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Analysis:
- \( x \) and \( y \) are on opposite sides of the transversal and between the two parallel lines.
- This matches the definition of
alternate interior angles.
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Answer: C) alternate interior
4)
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Diagram: Two parallel lines with a transversal.
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Angles: \( x \) and \( y \)
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Analysis:
- \( x \) and \( y \) are on opposite sides of the transversal and outside the two parallel lines.
- This matches the definition of
alternate exterior angles.
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Answer: A) alternate exterior
5)
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Diagram: Two parallel lines with a transversal.
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Angles: \( x \) and \( y \)
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Analysis:
- \( x \) and \( y \) are on the same side of the transversal and between the two parallel lines.
- This matches the definition of
consecutive interior angles.
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Answer: C) consecutive interior
6)
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Diagram: Two parallel lines with a transversal.
-
Angles: \( x \) and \( y \)
-
Analysis:
- \( x \) and \( y \) are on opposite sides of the transversal and outside the two parallel lines.
- This matches the definition of
alternate exterior angles.
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Answer: A) alternate exterior
Final Answers:
1. A) consecutive interior
2. C) corresponding
3. C) alternate interior
4. A) alternate exterior
5. C) consecutive interior
6. A) alternate exterior
\[
\boxed{A, C, C, A, C, A}
\]
Parent Tip: Review the logic above to help your child master the concept of angles and transversals worksheet.
