Question

name that angle pair!
directions: given the diagram below, determine whether the angle pairs are corresponding,
alternate interior, alternate exterior, consecutive (same-side) interior, consecutive (same-
side) exterior, or no relationship. color the boxes using the color codes below,
corresponding angles: pink
alternate interior angles: light blue
alternate exterior angles: yellow
consecutive interior angles: light green
consecutive exterior angles: orange
no relationship: uncolored
∠2 and ∠13 ∠4 and ∠11 ∠1 and ∠16 ∠3 and ∠12
∠3 and ∠5 ∠14 and ∠16 ∠1 and ∠3 ∠5 and ∠10
∠3 and ∠15 ∠4 and ∠5 ∠6 and ∠13 ∠4 and ∠13
∠2 and ∠8 ∠4 and ∠12 ∠3 and ∠16 ∠12 and ∠14
∠7 and ∠15 ∠6 and ∠16 ∠11 and ∠14 ∠1 and ∠10
∠1 and ∠11 ∠8 and ∠15 ∠7 and ∠13 ∠1 and ∠14
© gina wilson (all things algebra®, llc), 2014-2019

Explanation:

Step1: Recall angle - pair 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.
• Consecutive exterior angles: Outside the two lines and on the same side of the transversal.

Step2: Analyze each pair

• ∠2 and ∠13: Alternate interior angles.
• ∠4 and ∠11: Alternate interior angles.
• ∠1 and ∠16: No relationship.
• ∠3 and ∠12: No relationship.
• ∠3 and ∠5: Consecutive interior angles.
• ∠14 and ∠16: No relationship.
• ∠1 and ∠3: No relationship.
• ∠5 and ∠10: No relationship.
• ∠3 and ∠15: Corresponding angles.
• ∠4 and ∠5: Consecutive interior angles.
• ∠6 and ∠13: Corresponding angles.
• ∠4 and ∠13: No relationship.
• ∠2 and ∠8: Alternate exterior angles.
• ∠4 and ∠12: Alternate exterior angles.
• ∠3 and ∠16: No relationship.
• ∠12 and ∠14: No relationship.
• ∠7 and ∠15: Corresponding angles.
• ∠6 and ∠16: No relationship.
• ∠11 and ∠14: No relationship.
• ∠1 and ∠10: No relationship.
• ∠1 and ∠11: No relationship.
• ∠8 and ∠15: Corresponding angles.
• ∠7 and ∠13: No relationship.
• ∠1 and ∠14: No relationship.

Answer:

∠2 and ∠13: Alternate interior angles; ∠4 and ∠11: Alternate interior angles; ∠1 and ∠16: No relationship; ∠3 and ∠12: No relationship; ∠3 and ∠5: Consecutive interior angles; ∠14 and ∠16: No relationship; ∠1 and ∠3: No relationship; ∠5 and ∠10: No relationship; ∠3 and ∠15: Corresponding angles; ∠4 and ∠5: Consecutive interior angles; ∠6 and ∠13: Corresponding angles; ∠4 and ∠13: No relationship; ∠2 and ∠8: Alternate exterior angles; ∠4 and ∠12: Alternate exterior angles; ∠3 and ∠16: No relationship; ∠12 and ∠14: No relationship; ∠7 and ∠15: Corresponding angles; ∠6 and ∠16: No relationship; ∠11 and ∠14: No relationship; ∠1 and ∠10: No relationship; ∠1 and ∠11: No relationship; ∠8 and ∠15: Corresponding angles; ∠7 and ∠13: No relationship; ∠1 and ∠14: No relationship.