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a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF


b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)

a Describe the congruence shortcut postulatetheorem that could be used to prove that ΔABCΔDEFb Explain which parts are congruent in this triangle that applies t class=

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akposevictor

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. [tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

[tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

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