Question

math 2 unit 2 test congruence - version 1
name: thiago gor
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. ∠3 and ∠5
4. ∠1 and ∠4

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position with respect to the transversals and parallel lines. Same - side exterior angles are outside the parallel lines and on the same side of the transversal. 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 adjacent and form a straight - line, so they are a linear pair.

Step3: Analyze ∠6 and ∠8

∠6 and ∠8 are vertical angles as they are opposite each other when two lines intersect.

Step4: Analyze ∠3 and ∠5

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

Step5: Analyze ∠1 and ∠4

∠1 and ∠4 are none of the given angle pairs (E).

Answer:

1. D
2. C
3. E
4. E
5. E