Question

place a check mark stating which of the following represents the given angle pairs. for example < 1 and < 8 are alternate exterior angles activity #18 angle alternate interior corresponding angles consecutive interior angles alternate exterior angles vertical angles <1 and < 8 <4 and < 5 <7 and <6 <3 and <7 <3 and <2 <4 and <8 <3 and <6 <2 and <5 <8 and <4 <1 and <4 <7 and <3 <1 and <5 <2 and <6 <5 and <8 >2 and <7 <4 and <7

Explanation:

Step1: Recall angle - pair definitions

Alternate interior angles are between the two lines and on opposite sides of the transversal. Corresponding angles are in the same relative position with respect to the lines and the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Vertical angles are opposite each other when two lines intersect.

Step2: Analyze each angle - pair

• $\angle7$ and $\angle6$: Vertical angles. They are opposite each other where two lines intersect.
• $\angle3$ and $\angle2$: Adjacent angles (not one of the named special - angle pairs in the table).
• $\angle4$ and $\angle8$: Corresponding angles. $\angle4$ and $\angle8$ are in the same relative position with respect to the lines and the transversal.
• $\angle3$ and $\angle6$: Alternate interior angles. They are between the two lines and on opposite sides of the transversal.
• $\angle2$ and $\angle5$: No special named pair among the given types.
• $\angle8$ and $\angle4$: Corresponding angles.
• $\angle1$ and $\angle4$: Adjacent angles (not one of the named special - angle pairs in the table).
• $\angle7$ and $\angle3$: Vertical angles.
• $\angle1$ and $\angle5$: Corresponding angles.
• $\angle2$ and $\angle6$: Corresponding angles.
• $\angle5$ and $\angle8$: No special named pair among the given types.
• $\angle2$ and $\angle7$: Alternate exterior angles.
• $\angle4$ and $\angle7$: Consecutive interior angles.

Answer:

Angle	Alternate Interior	Corresponding Angles	Consecutive Interior Angles	Alternate Exterior Angles	Vertical Angles
$\angle3$ and $\angle2$
$\angle4$ and $\angle8$		X
$\angle3$ and $\angle6$	X
$\angle2$ and $\angle5$
$\angle8$ and $\angle4$		X
$\angle1$ and $\angle4$
$\angle7$ and $\angle3$					X
$\angle1$ and $\angle5$		X
$\angle2$ and $\angle6$		X
$\angle5$ and $\angle8$
$\angle2$ and $\angle7$				X
$\angle4$ and $\angle7$			X