Answer:
False
Step-by-step explanation:
Given statement: [tex]\overrightarrow{AD}[/tex] and [tex]\overrightarrow{AD}[/tex] are opposite rays.
Opposite rays: Two rays are opposite if both are started from a common point and go off in exactly opposite directions. In other words, the angle between two opposite rays is 180°.
From the given figure it is clear that point C, A and B are lie on a straight line.
[tex]\angle CAB=180^{\circ}[/tex]
[tex]\angle CAD+\angle DAB=180^{\circ}[/tex]
So we can say that
[tex]\angle CAD<180^{\circ}[/tex]
Since the angle between [tex]\overrightarrow{AD}[/tex] and [tex]\overrightarrow{AD}[/tex]. So, [tex]\overrightarrow{AD}[/tex] and [tex]\overrightarrow{AD}[/tex] are not opposite rays.
Therefore the given statement is false.
