Question

complete the proof that $overleftrightarrow{qs}paralleloverleftrightarrow{tv}$. 1. $angle qrucongangle ruv$ given 2. $angle prscongangle qru$ 3. $angle ruvcongangle prs$ 4. $overleftrightarrow{qs}paralleloverleftrightarrow{tv}$ angles forming a linear pair sum to 180° corresponding angles theorem definition of supplementary angles properties of addition, subtraction, multiplication, and division reflexive property of congruence reflexive property of equality substitution transitive property of congruence transitive property of equality vertical angle theorem

Explanation:

Step1: Identificar el teorema aplicable

Los ángulos $\angle PRS$ y $\angle QRU$ son ángulos verticales.

Step2: Aplicar el teorema

Según el Teorema de Ángulos Verticales, los ángulos verticales son congruentes. Entonces, la razón para $\angle PRS\cong\angle QRU$ es el Teorema de Ángulos Verticales.

Answer:

Vertical Angle Theorem