Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Will give brainliest if correct

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 :

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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.