Question

1 mark for review
the figure gives four points and some corresponding rays in the $xy$-plane. which of the following is true?
a angle $cob$ is in standard position with initial ray $ob$ and terminal ray $oc$.
b angle $cob$ is in standard position with initial ray $oc$ and terminal ray $ob$.
c angle $dob$ is in standard position with initial ray $ob$ and terminal ray $od$.
d angle $dob$ is in standard position with initial ray $od$ and terminal ray $ob$.

Explanation:

An angle in standard position has its initial ray on the positive x-axis. For ∠COB, the initial ray is OC (along positive x-axis), and the terminal ray is OB. Option A reverses initial/terminal rays. For ∠DOB, neither OD nor OB is on the positive x-axis, so it cannot be in standard position, eliminating options C and D.

Answer:

B. Angle COB is in standard position with initial ray OC and terminal ray OB.