1. Diagonals of an isosceles trapezoid are perpendicular.
Sometimes true: Sometimes false

2. Adjacent sides of a rectangle are congruent.
Sometimes true (when the rectangle is a square) Sometimes false:

3. One pair of opposite sides of a trapezoid are congruent.
Sometimes true (when it's an isosceles trapezoid, sometimes its false

4. Sides of a rhombus are congruent.
Always true
5. Diagonals of a square are perpendicular.
Always true
Edwin