Ahansen23idn
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GEOMETRY PROOFS!
Given: AB ≅ DB; AC ≅ DC
Prove: ABC ≅ DBC

refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!

GEOMETRY PROOFS Given AB DB AC DC Prove ABC DBC Refer To Attachments WILL GIVE BRAINLIEST PLS HELP class=
GEOMETRY PROOFS Given AB DB AC DC Prove ABC DBC Refer To Attachments WILL GIVE BRAINLIEST PLS HELP class=
GEOMETRY PROOFS Given AB DB AC DC Prove ABC DBC Refer To Attachments WILL GIVE BRAINLIEST PLS HELP class=

Sagot :

SalmonWorldTopperidn

Given that

In ∆ ABD , AB = BD------(1)

=> Angle B = Angle D

Since the angles opposite to equal sides are equal.

=> Angle A = Angle D

and

BC bisects Angle B

=> Angle BCA = Angle CDB ----(2)

And

BC = BC (Reflexive Property) -----(3)

From Eqⁿ(1),(2)&(3) we have

BA = BD

< ABC = BCD

BC = BC ( Common Side)

Therefore, ∆ ABC =~ ∆ DBC

by SAS property

Hence, proved.

Additional comment:

  • The angles opposite to equal sides are equal.
  • In two triangles , the two sides and the included angle of the first triangle are equal to the corresponding two sides and the included angle in the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.
  • CPCT - Corresponding parts in the Congruent triangles are equal.
  • Angle bisector divides the angle into two equal parts.
  • The sum of two adajacent angles is 180° they are called Linear Pair.

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