In Euclidean geometric terms, which of the below would be the best description of a RAY? a. It is a straight object that consists of all of the points that are equal distance from a common point. b. It is a straight object that extends infinitely in opposite directions without any width or thickness. c. It is a straight object that begins at a point and extends forever in one direction. It could be considered half of a line. d. It is a straight object that consists of all of the points that exist between two different points.

c. It is a straight object that begins at a point and extends forever in one direction. It could be considered half of a line.

Step-by-step explanation:

A ray is a line that begins at a point and extend forever in one direction. It has no end point. It has a start point but no end point. So, C is the correct answer.

∠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.