X fig 1 N Given: Line segment WZ bisects line segment XY Line segment XY bisects line segment WZ To prove: Triangles WAX and ZAY are congruent Statements: 1. Segment WZ bisects XY 2. Segments XA and AY are congruent 3. Segment XY bisects WZ 4. Angles WAX and YAZ are congruent 5. Triangles WAX and ZYA are congruent Reasons: 1. given 2. When a segment is bisected the resulting segments are congruent 3. given 4. Vertical angles of intersecting lines are equal 5. Triangles with two sides and an included angle equal