Parallelogram WXYZ is made up of two pairs of parallel line segments, or sides. Side WX is parallel to side YZ, and side XY is parallel to side WZ. Suppose the parallelogram were translated 11 units to the left in a coordinate plane. Which of these statements would be correct about the resulting parallelogram? Select two that apply. A. Side WX would be parallel to side XY. B. Side YZ would be parallel to side WZ. C. Side XY would be parallel to side WZ. D. Side WX would be parallel to side YZ. E. Side XY would be parallel to side YZ. F. Side WZ would be parallel to side WX.

The correct options are;

C. Side XY would be parallel to side WZ

D. Side WX would would be parallel to YZ

Step-by-step explanation:

Translation of a figure within the coordinate plane is a form of rigid transformation such that the shape and size of the pre image is maintained in the resulting image. Also, the orientation of the figure of the pre image and the figure of the resulting image will the same

Therefore, given that the pre image which is the parallelogram undergoes a translation to the left, the initial relationships between the sides of the parallelogram in the pre image will be maintained in the resulting image and side XY would be parallel to side WZ  ans side WX would be parallel to side YZ.

∠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.

using pemdas, (order of operations) you'll see the answer is 24.