Provide an appropriate response.
-$$\text { Determine whether the given conditions are sufficient to prove that } \triangle D E F \cong \triangle P Q R \text {. Justify your }$$ answer.
$\overline { \mathrm { DE } } \cong \overline { \mathrm { PQ } } , \overline { \mathrm { EF } } \cong \overline { \mathrm { QR } } , \overline { \mathrm { DF } } \cong \overline { \mathrm { PR } }$
A) Yes; CPCTC
B) Yes; SSS
C) Conditions are insufficient.
D) Yes; SAS

Question

Provide an appropriate response.
-$$\text { Determine whether the given conditions are sufficient to prove that } \triangle D E F \cong \triangle P Q R \text {. Justify your }$$ answer. 
$\overline { \mathrm { DE } } \cong \overline { \mathrm { PQ } } , \overline { \mathrm { EF } } \cong \overline { \mathrm { QR } } , \overline { \mathrm { DF } } \cong \overline { \mathrm { PR } }$
A) Yes; CPCTC
B) Yes; SSS
C) Conditions are insufficient.
D) Yes; SAS

Quizplus · Accepted Answer

The conditions given ($\overline { \mathrm { DE } } \cong \overline { \mathrm { PQ } }$, $\overline { \mathrm { EF } } \cong \overline { \mathrm { QR } }$, $\overline { \mathrm { DF } } \cong \overline { \mathrm { PR } }$) satisfy the Side-Side-Side (SSS) congruence theorem, which states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.