1. The congruency of MNO and XYZ can be proven using
a reflection across the line bisecting OZ. However,
this congruency can also be proven using geometric postulates,
theorems, and definitions. Prove that the triangles
are congruent using a two-column proof and triangle
congruency theorems.
Given: ∠M ≅ ∠X
∠N ≅ ∠Y
YO≅NZ
Prove: MNO ≅ XYZ
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2. Use the diagram and given information to answer the
questions and prove the statement.
Given: ∠X ≅ ∠Z
XY ≅ ZY
Prove: AZ ≅ BX
a) Re-draw the diagram of the overlapping triangles
so that the two triangles are separated.
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b) What additional information would be necessary
to prove that the two triangles, XBY and
ZAY, are congruent? What congruency theorem
would be applied?
c) Prove AZ ≅ BX using a flow chart proof.
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ANSWER | 20 pts
