28. given: $ \triangle bat \cong \triangle cat $ which statement is not true by cpctc? $ \overline{ab} \cong \overline{ac} $ $ \angle bat \cong \angle cat $ $ \angle bta \cong \angle cta $ $ \overline{ab} \cong \overline{ct} $

Question

Accepted Answer

# Explanation:
## Step1: Recall CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
If $\triangle BAT\cong\triangle CAT$, then corresponding sides and angles are congruent.
- For $\overline{AB}\cong\overline{AC}$: $AB$ and $AC$ are corresponding sides in $\triangle BAT$ and $\triangle CAT$. So $\overline{AB}\cong\overline{AC}$ by CPCTC.
- For $\angle BAT\cong\angle CAT$: $\angle BAT$ and $\angle CAT$ are corresponding angles in $\triangle BAT$ and $\triangle CAT$. So $\angle BAT\cong\angle CAT$ by CPCTC.
- For $\angle BTA\cong\angle CTA$: $\angle BTA$ and $\angle CTA$ are corresponding angles in $\triangle BAT$ and $\triangle CAT$. So $\angle BTA\cong\angle CTA$ by CPCTC.
- For $\overline{AB}\cong\overline{CT}$: $AB$ is a side of $\triangle BAT$ and $CT$ is not the corresponding side to $AB$ in $\triangle CAT$. Corresponding side to $AB$ is $AC$,  corresponding side to $BT$ is $CT$.

# Answer:
$\overline{AB}\cong\overline{CT}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Answer: