Question

Given: AC = AB; AB = BX; CY = XD

Prove: AY = BD
Which step in the two-column proof demonstrates that AY = BD?
A) By substitution, AC = BX
B) By substitution, AC = CY
C) By transitive property, CY = BX
D) By transitive property, AC = BD

Answer 1

The step that demonstrates that AY = BD is By transitive property, AC = BD.

Step-by-step explanation:

The step that demonstrates that AY = BD is Option D) By transitive property, AC = BD.

By transitive property, if AC = AB and AB = BD, then AC = BD. Therefore, we can conclude that AY = BD.