Question

Using the congruency statement, select which statements are true.

Triangle W X Y is congruent to triangle E F G.

Segment W X is congruent to segment F G
Segment W Y is congruent to segment E G
Angle X is congruent to angle F
Angle G is congruent to angle W

Answer 1

Given the congruency statement that triangle WXY is congruent to triangle EFG, we can use the properties of congruent triangles to determine which statements are true.

When two triangles are congruent, the corresponding sides and angles are also congruent. The corresponding pairs are as follows:

- W corresponds to E
- X corresponds to F
- Y corresponds to G

From this correspondence, we can analyze the statements:

1. **Segment WX is congruent to segment FG**:
- True. WX corresponds to FG.

2. **Segment WY is congruent to segment EG**:
- False. WY corresponds to EF, not EG.

3. **Angle X is congruent to angle F**:
- True. Angle X corresponds to angle F.

4. **Angle G is congruent to angle W**:
- False. Angle G corresponds to angle Y, not W.

Based on the analysis, the true statements are:
- Segment WX is congruent to segment FG.
- Angle X is congruent to angle F.