Question

chapter 3 chapter test a for use after chapter 3 identify the pairs of angles as corresponding, alternate interior, alternate exterior, consecutive interior, or vertical angles. 1. ∠3 and ∠6 2. ∠2 and ∠7 3. ∠4 and ∠8 4. ∠5 and ∠8 5. ∠3 and ∠5 6. ∠1 and ∠8

Explanation:

Step1: Recall the definitions

• Corresponding angles: In the same relative position.
• Alternate interior angles: Between the two lines and on opposite sides of the transversal.
• Alternate exterior angles: Outside the two lines and on opposite sides of the transversal.
• Consecutive interior angles: Between the two lines and on the same side of the transversal.
• Vertical angles: Opposite angles formed by two intersecting lines.

Step2: Analyze each pair

1. For \(\angle3\) and \(\angle6\):

They are between the two lines and on opposite sides of the transversal. So they are alternate interior angles.

1. For \(\angle2\) and \(\angle7\):

They are outside the two lines and on opposite sides of the transversal. So they are alternate exterior angles.

1. For \(\angle4\) and \(\angle8\):

They are in the same relative position. So they are corresponding angles.

1. For \(\angle5\) and \(\angle8\):

They are opposite angles formed by two intersecting lines. So they are vertical angles.

1. For \(\angle3\) and \(\angle5\):

They are between the two lines and on the same side of the transversal. So they are consecutive interior angles.

1. For \(\angle1\) and \(\angle8\):

They are outside the two lines and on opposite sides of the transversal. So they are alternate exterior angles.

Answer:

1. Alternate interior angles
2. Alternate exterior angles
3. Corresponding angles
4. Vertical angles
5. Consecutive interior angles
6. Alternate exterior angles