Question

When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent: Statements Reasons segment UV is parallel to segment WZ Given Points S, Q, R, and T all lie on the same line. Given m∠SQT = 180° Definition of a Straight Angle m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate m∠SQV + m∠VQT = 180° Substitution Property of Equality I m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS Subtraction Property of Equality II m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality III m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem ∠SQV ≅ ∠ZRS Definition of Congruency

Answer 1

concidanation of shape is congruency