Zw is parallel as yz
zw is congruent to my
prove zy is parallel to wx

Given information

ZW is parallel to XY

ZW is congruent to XY

What we want to prove: ZY parallel to WX

Proof:

Statement 1: ZW is parallel to XY

Reason 1: Given

Statement 2: ZW = XY

Reason 2: Given

Statement 3: Angle 3 = angle 4

Reason 3: Alternate interior angle theorem

note: it might help to erase or cover up the horizontal lines of the parallelogram temporarily to help see that angles 3 and 4 are alternate interior angles.

Statement 4: ZX = ZX

Reason 4: Reflexive property of congruence

Statement 5: Triangle WZX = Triangle YXZ

Reason 5: SAS congruence postulate

Statement 6: Angle 1 = Angle 2

Reason 6: CPCTC

note: CPCTC stands for "corresponding parts of congruent triangles are congruent"

Statement 7: ZY is parallel to WX

Reason 7: Converse of alternate interior angle theorem

This concludes the proof.

step-by-step explanation:

where is the questions

i need a diagram

step-by-step explanation:

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