Question

if triangle abc is congruent to triangle def, which statement is not true?
ab ≅ de
∠c ≅ ∠e
bc ≅ ef
∠a ≅ ∠d

Explanation:

Step1: Recall congruent - triangle properties

When $\triangle ABC\cong\triangle DEF$, corresponding sides and corresponding angles are congruent. The correspondence is $A$ with $D$, $B$ with $E$, and $C$ with $F$. So, $\overline{AB}\cong\overline{DE}$, $\overline{BC}\cong\overline{EF}$, $\overline{AC}\cong\overline{DF}$, $\angle A\cong\angle D$, $\angle B\cong\angle E$, and $\angle C\cong\angle F$.

Step2: Analyze each option

• $\overline{AB}\cong\overline{DE}$ is a correct corresponding - side congruence.
• $\angle C$ corresponds to $\angle F$, not $\angle E$. So, $\angle C\cong\angle E$ is not true.
• $\overline{BC}\cong\overline{EF}$ is a correct corresponding - side congruence.
• $\angle A\cong\angle D$ is a correct corresponding - angle congruence.

Answer:

$\angle C\cong\angle E$