Triangle ABC is an isoceles right triangle inscribed in a circle. the center of the circle is point D and the diameter of the circle is AC. Which of the following would NOT be true for the right triangle and circle described above?

The measure of arc AC is equal to the measure of arc AB
AD is congruent to DC and to BD
The measure of arc AB is equal to the measure of arc BC
the measure of angle B is 90 degrees