2. a triangular pyramid begins with these coordinates: p(–1, 2, 0) y(2, 3, 0) r(–3, 4, 0) a(–2, 1, 5) the pyramid is then reflected over the yz-plane. the reflected image is then translated using the following rule: (x, y, z)  (x + 2, y + 4, z – 3). determine the coordinates of that final image, following these steps: 1. write the general rule you use for the reflection. (4 points) 2. what would be the new points of the shape after this reflection? (4 points) 3. now, use the points from number 2 and apply the translation rule. show the results of your calculations for that translation. (4 points)

answer: (x)+4-5=-3

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.