Question

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

Answer 1

Segment A B and Segment Z W

Explanation:

Answer 2

Segment A B and Segment Z W

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