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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 congruence theorems.


Given: < M = < X

< N = < Y

YO = NZ

prove : /_\ MNO = /_\ XYZ

PLZ HELP I NEED AN ANSWER NOW I WILL MARK BRAINLYESTThe congruency of MNO and XYZ can be proven using a reflection across the line bisecting OZ However this con class=

Respuesta :

Answer:

Δ MNO ≅ ΔXYZ by AAS postulate.

Step-by-step explanation:

Given:

[tex]\angle M=\angle X[/tex], [tex]\angle N=\angle Y[/tex], and YO = NZ.

Consider YO = NZ

Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

   Statement                                                 Reason

1. [tex]\angle M=\angle X[/tex]                                            Given

2. [tex]\angle N=\angle Y[/tex]                                           Given

3. YZ = NO                                            ∵ YO = NZ

Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.

Answer:

Δ MNO ≅ ΔXYZ by AAS postulate.

Step-by-step explanation: