If triangle ABC has coordinates points of A(6, -3), B(1, 2), C(-6, -3) what are the coordinates for the image after a rotation clockwise 90°? A(6, 3), B(-2, 1), C(3, -6)

A(-6, 3), B(-1, -2), C(6, 3)

A(-3, -6), B(2, -1), C(-3, 6)

A(3, -6), B(-2, -1), C(3, 6)

∠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.

stop cheating

step-by-step explanation:

-2/

step-by-step explanation: