Question

college prep which statements can you conclude from the diagram? select all that apply. ∠vzt≅∠xzy ∠vzt≅∠vzw ∠vzx≅∠tzy ∠vzw≅∠xzy

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. When two lines intersect, the pairs of opposite angles formed are vertical angles.

Step2: Identify vertical - angle pairs

In the given diagram, lines $VX$ and $TY$ intersect at point $Z$. $\angle VZT$ and $\angle XZY$ are vertical angles, and $\angle VZX$ and $\angle TZY$ are vertical angles.

Answer:

$\angle VZT\cong\angle XZY$, $\angle VZX\cong\angle TZY$