5. triangle abc is congruent to triangle def. select all the statements that are a result of corresponding parts of congruent triangles being congruent.
a. segment ac is congruent to segment ef.
b. segment bc is congruent to segment ef.
c. angle bac is congruent to angle edf.
d. angle bca is congruent to angle edf.
e. angle cba is congruent to angle fed.

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Accepted Answer

# Explanation:
## Step1: Recall the concept of congruent triangles
When two triangles are congruent, their corresponding parts (sides and angles) are congruent. If $\triangle ABC\cong\triangle DEF$, then:
- Corresponding sides: $AB = DE$, $BC=EF$, $AC = DF$
- Corresponding angles: $\angle A=\angle D$, $\angle B=\angle E$, $\angle C=\angle F$

## Step2: Analyze each option
- **Option a**: Segment $AC$ and segment $DF$ are corresponding sides. So segment $AC$ is not congruent to segment $EF$.
- **Option b**: Segment $BC$ and segment $EF$ are corresponding sides. So segment $BC$ is congruent to segment $EF$.
- **Option c**: $\angle BAC$ ($\angle A$) and $\angle EDF$ ($\angle D$) are corresponding angles. So $\angle BAC$ is congruent to $\angle EDF$.
- **Option d**: $\angle BCA$ ($\angle C$) and $\angle DFE$ ($\angle F$) are corresponding angles. So $\angle BCA$ is not congruent to $\angle EDF$.
- **Option e**: $\angle CBA$ ($\angle B$) and $\angle FED$ ($\angle E$) are corresponding angles. So $\angle CBA$ is congruent to $\angle FED$.

# Answer:
b. Segment $BC$ is congruent to segment $EF$, c. Angle $BAC$ is congruent to angle $EDF$, e. Angle $CBA$ is congruent to angle $FED$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the concept of congruent triangles

Step2: Analyze each option

Answer: