Extensions of AH algebras with the ideal property

In this note we show that if we have an exact sequence of AH algebras (AH stands for "approximately homogeneous") 0 --> I --> A --> B --> 0, then A has the ideal property (i.e., any ideal is generated by its projections) if and only if I and B have the ideal property. Also, we prove that an extension of two AT algebras (AT stands for "approximately circle") with the ideal property is an AT algebra with the ideal property if and only if the extension is quasidiagonal.