Question

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

Answer 1

Choice A) This is false. Arc AC is 180 degrees while arc AB is 90 degrees. 

Choice B) This is true. These segments are radii

Choice C) This is true. AB is 90 degrees and so is BC.

Choice D) This is true due to Thales Theorem. 

--------------------------------------------------------------------

The only answer choice that is false is choice A.

Therefore, the final answer is choice A