Two lines AB and CD are parallel to each other. The transversal BD bisects the other transversal
AC. Prove that AC also bisects BD.
Answers
Answered by
6
Step-by-step explanation:
Let the intersection of BD and AC be point E.
Angles BAC and DCA are congruent [alternate interior angles]
Angles BAC and BAE are congruent [same angle]
Angles BAE and DCA are congruent [transitivity of congruence]
Angles DCA and DCE are congruent [same angle]
Angles BAE and DCE are congruent [transitivity of congruence]
Angles AEB and CED are congruent [vertical angles]
AE = CE [definition of bisection]
triangles AEB and CED are congruent [angle, side, angle]
BE = DE [corresponding sides of congruent triangles]
AC bisects BD [definition of bisection]
hence proved
hope it helps
Answered by
4
Answer:
Step-by-step explanation:
mark as brainlist
Attachments:
Similar questions