Question

which of the following appear in the diagram below? check all that apply. (overleftrightarrow{yx}) (overleftrightarrow{yw}) (angle xyz) (angle yxz)

Explanation:

• $\overrightarrow{YX}$: There is a vector from \( Y \) to \( X \) (arrow from \( Y \) to \( X \) direction), so this appears.
• $\overrightarrow{YW}$: There is a vector from \( Y \) to \( W \) (arrow from \( Y \) to \( W \) direction), so this appears.
• $\angle XYZ$: The angle at \( Y \) between points \( X \), \( Y \), \( Z \) (with \( Y \) as the vertex, \( X \) and \( Z \) as the other two points of the angle's sides) is present.
• $\angle YXZ$: The vertex here would be \( X \), but the diagram does not show an angle with vertex at \( X \) formed by \( Y \), \( X \), \( Z \) in the way this angle is defined (since the lines at \( X \) are a vector, not forming an angle with \( Y \) and \( Z \) at \( X \)), so this does not appear.

Answer:

$\overrightarrow{YX}$, $\overrightarrow{YW}$, $\angle XYZ$