Question

Complete the chart for the given proof. GIVEN: the midpoint of AB <AX = <NY NX = BY PROVE: <X = <Y ​

Answer 1

Two-column proof

See missing statements and reasons below.

Statement Reason

• N is the midpoint of AB Given
• AN ≅ NB Definition of a midpoint
• AX ≅ NY Given
• BX ≅ BY Given
• ΔAXN ≅ ΔNYB Side-side-side congruency
• ∠X ≅ ∠Y CPCTC

• Proved