Suppose a triangle with the vertices A(-7, -8), B (-4,6) and C (-8,5) was rotated 270 degrees counterclockwise
about the origin. Label and list all the vertices.
A A' (-8, 7), B' (6,4), C' (5,8)
B A' (8,-7), B' (-6,-4), C'(-5, -8)
A' (7,8), B’ (4, -6), C' (8, –5)
D A' (-7,8), B' (-4,-6), C'(-8,-5)

please help

b

Step-by-step explanation:

answer: answer

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.