Question

http://is.byu.edu/courses/hs/GEOM-043-101/secure/imgs/math10-1377.gif
Is it a right angle or not?

Answer 1

\[m <BCD\]

Answer 2

BD is a diameter since points B and D lie on the circle and point P (the center of the circle) lies on segment BD

Answer 3

BCD is right as it forms a triangle with the diameter. As in, diameter + 1 point on the circumference end up making a right angled triangle.

Answer 4

So the central angle BPD is 180 degrees

Answer 5

use the inscribed angle theorem and take half of this angle to get the central angle BCD