Which pair of segments are corresponding parts of the congruent quadrilaterals that are pictured below?

Quadrilaterals A B C D and Y Z W X. Sides C D and Y X are congruent, sides C B and Y Z are congruent, sides Z W and A B are congruent, and sides A D and X W are congruent.
Segment A B and Segment W X
Segment A B and Segment X Y
Segment A B and Segment Y Z
Segment A B and Segment Z W

Segment A B and Segment Z W

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Sides C D and Y X are congruent,

sides C B and Y Z are congruent,

sides Z W and A B are congruent,

sides A D and X W are congruent

so

ABCD≅WZYX

The corresponding sides are

AB and WZ

BC and ZY

CD and YX

AD and WX

That means

AB ≅ WZ

BC ≅ ZY

CD≅ YX

AD ≅ WX

The corresponding angles are

∠A and ∠W

∠B and ∠Z

∠C and ∠Y

∠D and ∠X

That means

∠A ≅ ∠W

∠B ≅ ∠Z

∠C ≅ ∠Y

∠D ≅ ∠X

therefore

The answer is

Segment A B and Segment Z W

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves