Classify figures by coordinates

Yes, because $AB=AD$A, B, equals, A, D and $BC=CD$B, C, equals, C, D, and $ABCD$A, B, C, D is a parallelogram.

Yes, because $\overline{BC}$start overline, B, C, end overline is perpendicular to $\overline{AB}$start overline, A, B, end overline, and $ABCD$A, B, C, D is a parallelogram.

No, because $\overline{AB}$start overline, A, B, end overline is shorter than $\overline{AD}$start overline, A, D, end overline.

No, because $\overline{BC}$start overline, B, C, end overline is not perpendicular to $\overline{AB}$start overline, A, B, end overline.