Question 13
10 pts

Which angle(s) is/are congruent?
Same Side Interior
Vertical
Alternate Exterior
Alternate Interior
Corresponding

Question

Question 13 10 pts Which angle(s) is/are congruent? Same Side Interior Vertical Alternate Exterior Alternate Interior Corresponding

UpStudy AI · Accepted Answer

To determine which angles are congruent among the given types—**Same Side Interior**, **Vertical**, **Alternate Exterior**, **Alternate Interior**, and **Corresponding**—we can analyze each based on the properties of angles formed by parallel lines intersected by a transversal.

1. **Vertical Angles**:
   - **Congruent**. Vertically opposite angles are always equal in measure regardless of whether the lines are parallel.

2. **Alternate Exterior Angles**:
   - **Congruent** *if* the lines are parallel. When two parallel lines are cut by a transversal, the alternate exterior angles are equal.

3. **Alternate Interior Angles**:
   - **Congruent** *if* the lines are parallel. Similar to alternate exterior angles, alternate interior angles are equal when the lines are parallel.

4. **Corresponding Angles**:
   - **Congruent** *if* the lines are parallel. Corresponding angles occupy the same relative position at each intersection where a transversal crosses the parallel lines and are hence equal.

5. **Same Side Interior Angles**:
   - **Not Congruent**. Instead, these angles are **supplementary** (their measures add up to 180°) when the lines are parallel.

**Summary**:
- **Congruent Angles**: **Vertical**, **Alternate Exterior**, **Alternate Interior**, **Corresponding**.
- **Not Congruent**: **Same Side Interior** (they are supplementary).

**Visual Representation**:

![Congruent Angles](https://i.imgur.com/yourimagelink.png)

*(Replace the image link with an appropriate diagram if needed.)*
**Congruent Angles**: Vertical, Alternate Exterior, Alternate Interior, Corresponding. **Not Congruent**: Same Side Interior (they are supplementary).

Question 13
10 pts

Which angle(s) is/are congruent?
Same Side Interior
Vertical
Alternate Exterior
Alternate Interior
Corresponding

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