Use your knowledge of triangle congruence criteria to write proofs for each of the following problem.

is a midsegment of △*ABC*, and is a midsegment of △*CWX*. *BX*=*AW*.

What can you conclude about ∠*A* and ∠*B*? Explain why.

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What is the relationship of the lengths of and ?

Fill in the blank:

YZ = __ AB

Use your knowledge of triangle congruence criteria to write proofs for the following problem.

and . *W*, *X*, *Y*, and *Z* are the midpoints of , , , and , respectively. *AD*=18, *WZ*=11, and *BX*=5. m∠*WAC*=33°, m∠*XBY*=73°, m∠*RYX*=74°, m∠*DCA=*74°.

m∠*DZW*=_______

Do not include units (degrees) in your answer.

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Perimeter of *ABYW* = _______

Do not include units (units) in your answer.

Perimeter of *ABCD* = _______

Do not include units (units) in your answer.

m∠*WAX*=_______

Do not include units (degrees) in your answer.

m∠*B*=_______

Do not include units (degrees) in your answer.

*m∠YCZ=_______*

Do not include units (degrees) in your answer.

*m∠D=_______*

Do not include units (degrees) in your answer.

What kind of quadrilateral is *ABCD*?