Question

matching: use the figure below to classify each pair of angles using the vocabulary to the right. answers may be used more than once. a. corresponding angles b. same - side exterior angles c. vertical angles d. linear pairs e. none of these angle pairs 1. ∠4 and ∠5 2. ∠6 and ∠8 3. ∠2 and ∠3 4. ∠3 and ∠5 5. ∠1 and ∠4

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position. Vertical angles are opposite each other when two lines intersect. Linear pairs are adjacent and supplementary. Same - side exterior angles are outside the two lines and on the same side of the transversal.

Step2: Analyze ∠4 and ∠5

∠4 and ∠5 are a linear pair since they are adjacent and form a straight - line. So the answer for 1 is D.

Step3: Analyze ∠6 and ∠8

∠6 and ∠8 are vertical angles as they are opposite each other when two lines intersect. So the answer for 2 is C.

Step4: Analyze ∠2 and ∠3

∠2 and ∠3 are vertical angles as they are opposite each other when two lines intersect. So the answer for 3 is C.

Step5: Analyze ∠3 and ∠5

∠3 and ∠5 are same - side interior angles (not in the given options), so the answer for 4 is E.

Step6: Analyze ∠1 and ∠4

∠1 and ∠4 are corresponding angles as they are in the same relative position with respect to the transversal and the parallel lines. So the answer for 5 is A.

Answer:

1. D. linear pairs
2. C. vertical angles
3. C. vertical angles
4. E. none of these angle pairs
5. A. corresponding angles