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identify each pair of angles as either corresponding, alternate interio…

Question

identify each pair of angles as either corresponding, alternate interior, alternate exterior, or same - side interior. angles and transversals practice date____ period____ 1) 2) 3) 4) 5) 6)

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position. Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. Same - side interior angles are between the parallel lines and on the same side of the transversal.

Step2: Analyze each pair

  1. The pair of angles \(x\) and \(y\) are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.
  2. The pair of angles \(x\) and \(y\) are alternate interior angles as they are between the parallel lines and on opposite sides of the transversal.
  3. The pair of angles \(x\) and \(y\) are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.
  4. The pair of angles \(x\) and \(y\) are alternate exterior angles as they are outside the parallel lines and on opposite sides of the transversal.
  5. The pair of angles \(x\) and \(y\) are same - side interior angles as they are between the parallel lines and on the same side of the transversal.
  6. The pair of angles \(x\) and \(y\) are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.

Answer:

  1. Corresponding angles
  2. Alternate interior angles
  3. Corresponding angles
  4. Alternate exterior angles
  5. Same - side interior angles
  6. Corresponding angles