Question

1. use the diagram and the word bank below to describe each angle - pair relationship. word bank corresponding angles alternate interior angles alternate exterior angles consecutive interior angles consecutive exterior angles vertical angles linear pair no relationship a) <10 and <14 b) <1 and <4 c) <1 and <8 d) <3 and <6 e) <13 and <14 f) <1 and <5 g) <3 and <5

Explanation:

Step1: Recall angle - pair relationships

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. Alternate interior angles are between the two parallel lines and on opposite sides of the transversal. Alternate exterior angles are outside the two parallel lines and on opposite sides of the transversal. Consecutive interior angles are between the two parallel lines and on the same side of the transversal. Vertical angles are opposite each other when two lines intersect. Linear pairs are adjacent angles that form a straight - line.

Step2: Analyze each angle pair

a) ∠10 and ∠14

They are in the same relative position with respect to the transversal and the parallel lines, so they are corresponding angles.

b) ∠1 and ∠4

They are adjacent and form a straight - line, so they are a linear pair.

c) ∠1 and ∠8

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

d) ∠3 and ∠6

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

e) ∠13 and ∠14

They are adjacent and form a straight - line, so they are a linear pair.

f) ∠1 and ∠5

They are in the same relative position with respect to the transversal and the parallel lines, so they are corresponding angles.

g) ∠3 and ∠5

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

Answer:

a) Corresponding Angles
b) Linear Pair
c) Alternate Exterior Angles
d) Alternate Interior Angles
e) Linear Pair
f) Corresponding Angles
g) Consecutive Interior Angles