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Use the diagram and given information to answer the questions and prove the statement.

Re-draw the diagram of the overlapping triangles so that the two triangles are separated.

What additional information would be necessary to prove that the two triangles, (Triangle) XBY and
(Triangle) ZAY, are congruent? What congruency theorem would be applied?

Prove AZ ≅ BX using a flow chart proof.

Use the diagram and given information to answer the questions and prove the statement Redraw the diagram of the overlapping triangles so that the two triangles class=

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Answer:

See explanation

Step-by-step explanation:

Consider triangles BXY and AZY. In these triangles:

  • [tex]\angle X\cong \angle Z[/tex] - given;
  • [tex]\overline{XY}\cong \overline{ZY}[/tex] - given;
  • [tex]\angle XYZ\cong \angle ZYA[/tex] as right angles by reflective property.

Hence, [tex]\triangle BXY\cong \triangle AZY[/tex] by ASA postulate (or by LA postulate).

Congruent triangles have congruent corresponding sides, so

[tex]\overline{XB}\cong \overline{ZA}[/tex]

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