Question

th 2 unit 2 test congruence - version 1 name: inigo gonzalez 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 with respect to the transversal and parallel lines. Vertical angles are opposite each other when two lines intersect. Linear pairs are adjacent and supplementary.

Step2: Analyze ∠4 and ∠5

∠4 and ∠5 are vertical angles since they are opposite each other where two lines intersect. So the answer for 1 is C.

Step3: Analyze ∠6 and ∠8

∠6 and ∠8 are vertical angles as they are opposite each other at the intersection of the lines. So the answer for 2 is C.

Step4: Analyze ∠2 and ∠3

∠2 and ∠3 are a linear pair because they are adjacent and form a straight - line. So the answer for 3 is D.

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