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Which congruence theorem can be used to prove △BDA ≅ △BDC?


Triangles B D A and B D C share side B D. Sides B C and B A are congruent. Sides A D and D C are congruent.


HL

SSA

AAS

SSS

Will Give Brainliest If CorrectWhich Congruence Theorem Can Be Used To Prove BDA BDCTriangles B D A And B D C Share Side B D Sides B C And B A Are Congruent Sid class=

Sagot :

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Answer:

SSS or D on edge

Step-by-step explanation:

.

The three sides of triangle ΔBDA are equal to the three sides of triangle ΔBDC.

  • The congruency theorem that can be used to prove ΔBDA ≅ ΔBDC is; SSS

Reasons:

The given parameters are;

The common side to ΔBDA and ΔBD = BD

BC ≅ BA

AD ≅ DC

The two column proof is presented as follows;

Statement [tex]{}[/tex]                     Reasons

BC ≅ BA [tex]{}[/tex]                        Given

AD ≅ DC [tex]{}[/tex]                       Given

BD ≅ BD [tex]{}[/tex]                         By reflexive property

Therefore, we have;

  • ΔBDA ≅ ΔBDC  [tex]{}[/tex]             By Side-Side-Side SSS, congruency rule

The congruency theorem that can be used to prove ΔBDA ≅ ΔBDC is therefore;

  • SSS

The Side-Side-Side congruency rule states that if three sides of on triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Learn more about Side-Side-Side, SSS congruency rule here:

https://brainly.com/question/10684250

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