Jannie creates ordered pairs using terms from Pattern X as the x-coordinate and the corresponding terms of Pattern Y as the y-coordinate. Pattern X starts with 3 and follows the rule “Add 3”
Pattern Y starts with 1 and follows the rule “Add 1”
Which set of ordered pairs represents the first 3 terms of each pattern?

(3, 1), (6, 4), (9, 7)
(3, 1), (6, 3), (9, 9)
(3, 1), (6, 2), (9, 3)
(3, 1), (4, 4), (5, 7)

d

Step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

answer: it's a

step-by-step explanation: