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Accepted Answer

# Explanation:
## Step1: Identify angle reason
$\angle CBD \cong \angle ADB$ because they are **Alternate interior angles** (formed by transversal $\overline{BD}$ cutting parallel sides $\overline{BC}$ and $\overline{AD}$ of the parallelogram).
## Step2: Match opposite sides
Opposite sides of a parallelogram are congruent: $\overline{AB} \cong \overline{CD}$.
## Step3: Apply reflexive property
The shared diagonal $\overline{BD} \cong \overline{DB}$ by the reflexive property.
## Step4: Choose congruence rule
We have two sides and the included angle congruent, so use **Side Angle Side (SAS)** congruency.

# Answer:
| Statement | Reason |
|-----------|--------|
| $ABCD$ is a parallelogram | Given |
| $\angle CBD \cong \angle ADB$ | Alternate interior angles |
| $\overline{AB} \cong \overline{CD}$ | Opposite sides of a parallelogram are congruent. |
| $\overline{BD} \cong \overline{DB}$ | Reflexive property |
| $	riangle ABD \cong 	riangle CDB$ | Side Angle Side Congruency |

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QUESTION IMAGE

Question

Explanation:

Step1: Identify angle reason

Step2: Match opposite sides

Step3: Apply reflexive property

Step4: Choose congruence rule

Answer:

Statement	Reason
$\angle CBD \cong \angle ADB$	Alternate interior angles
$\overline{AB} \cong \overline{CD}$	Opposite sides of a parallelogram are congruent.
$\overline{BD} \cong \overline{DB}$	Reflexive property
$\triangle ABD \cong \triangle CDB$	Side Angle Side Congruency