if ΔABC = ΔDEF, which congruences are true by CPCTC? Check all that apply.A. ∠A ≅ ∠DB. AB ≅ DEC. ∠E ≅ ∠CD. AC ≅ DFE. ∠B ≅ ∠FF. BC ≅ DE

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31-10-2022
Mathematics

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if ΔABC = ΔDEF, which congruences are true by CPCTC? Check all that apply.A. ∠A ≅ ∠DB. AB ≅ DEC. ∠E ≅ ∠CD. AC ≅ DFE. ∠B ≅ ∠FF. BC ≅ DE

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RobsanB206521 RobsanB206521 · Answer 1 · 2022-10-31T08:27:30+01:00

To answer the question, let's begin by defining the term CPCTC. CPCTC is an abbreviation that stands for "Corresponding Parts of Congruent Triangles are Congruent".

[tex]\begin{gathered} \Delta ABC=\Delta DEF \\ |AB|\equiv|DE| \\ |BC|\equiv|EF| \\ |AC|\equiv|DF| \\ \angle A\equiv\angle D \\ \angle B\equiv\angle E \\ \angle C\equiv\angle F \end{gathered}[/tex]

As such, options A, B, D are the correct answers