Question

1. from the image above, drag the pairs of angles to the name of the pair of angles that holds true. (each pair will only go to one place) ∠6 & ∠8 ∠5 & ∠7 ∠1 & ∠4 ∠2 & ∠4 ∠1 & ∠3 ∠4 & ∠8 ∠6 & ∠7 ∠2 & ∠6 ∠5 & ∠8 ∠3 & ∠7 ∠2 & ∠3 ∠1 & ∠5 alternate interior angles (alt. int. ∠s) answer by dragging items here same-side interior angles (consecutive interior angles) answer by dragging items here corresponding angles answer by dragging items here alternate exterior angles answer by dragging items here consecutive exterior angles (same-side exterior angles) answer by dragging items here

Explanation:

Alternate Interior Angles (Alt. Int. ∠'s)

Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal.

• For \(∠6\) and \(∠8\), they lie between the lines \(m\) and \(n\) and on opposite sides of the transversal \(r\).

Same - Side Interior Angles (Consecutive Interior Angles)

Same - side interior angles are non - adjacent angles that lie between two lines and on the same side of a transversal.

• There are no pairs in the given list that fit this definition.

Corresponding Angles

Corresponding angles are in the same relative position with respect to the lines and the transversal.

• For \(∠4\) and \(∠8\), they are in the same relative position. For \(∠1\) and \(∠5\), they are also in the same relative position.

Alternate Exterior Angles

Alternate exterior angles are non - adjacent angles that lie outside two lines and on opposite sides of a transversal.

• There are no pairs in the given list that fit this definition.

Consecutive Exterior Angles (Same - Side Exterior Angles)

Consecutive exterior angles are non - adjacent angles that lie outside two lines and on the same side of a transversal.

• There are no pairs in the given list that fit this definition.

Answer:

• Alternate Interior Angles (Alt. Int. ∠'s): \(∠6\ \&\ ∠8\)
• Corresponding Angles: \(∠4\ \&\ ∠8\), \(∠1\ \&\ ∠5\)