RushtonA578116 RushtonA578116
  • 03-11-2022
  • Mathematics
contestada

given BD and AC bisects each other. prove AB\\ CD

given BD and AC bisects each other prove AB CD class=

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DerinX493868 DerinX493868
  • 03-11-2022

From step #6, AB is congruent to CD by CPCTC or Corresponding Parts of Congruent Triangles are Congruent.

Triangles ABE and CDE are congruent by SAS postulate.

Therefore, angle B and angle D are congruent.

Note that the segment BD is a transversal line that cuts AB and CD, and angle B and angle D are alternate interior angles.

The answer is :

XY || WZ ⇒ AB || CD

with a reason of :

Parallel lines cut by a transversal form congruent alternate interior angles.

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