Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively 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 I m∠SQV + m∠VQT = 180° Substitution Property of Equality II m∠SQT = 180° Definition of a Straight Angle III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate m∠VQT + m∠ZRS = 180

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Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively 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 I m∠SQV + m∠VQT = 180° Substitution Property of Equality II m∠SQT = 180° Definition of a Straight Angle III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate m∠VQT + m∠ZRS = 180

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In Geometry, you make some assumptions and you call them postulates or axioms. You make a minimum number of postulates. Then using postulates and definitions, you prove theorems. The way I learned Geometry, corresponding angles of parallel lines are congruent is a postulate. From there I was given the theorems of alternate interior and exterior angles, and same sides interior angles. In your case, if you are proving that corresponding angles are congruent, that must be a theorem for you . That means something else that was a theorem for me must have been a postulate for you.

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In the lines labeled I, II, and III, are you supplying both statements and reasons?
It says written in the correct order
How exactly was this problem given to you and how much have you filled in yourself?
In other words, can you show exactly how the problem was given before you started working on it?
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 I m∠SQV + m∠VQT = 180° Substitution Property of Equality II m∠SQT = 180° Definition of a Straight Angle III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS Subtraction Property of Equality ∠SQV ≅ ∠ZRS Definition of Congruency
Ok. What you have to do is decide the correct order of the lines labeled I, II, and III? All the other lines are where they belong?
Statements Reasons segment UV is parallel to segment WZ Given Points S, Q, R, and T all lie on the same line Given I m∠SQV + m∠VQT = 180° Substitution Property of Equality II m∠SQT = 180° Definition of a Straight Angle III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality m∠SQV + m∠VQT − m∠VQT = =m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS Subtraction Property of Equality ∠SQV ≅ ∠ZRS Definition of Congruency
Ok. Line III goes first. Then line II. Then line I.
thank you :)
Statements Reasons segment UV is parallel to segment WZ Given Points S, Q, R, and T all lie on the same line Given III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate II m∠SQT = 180° Definition of a Straight Angle I m∠SQV + m∠VQT = 180° Substitution Property of Equality m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality m∠SQV + m∠VQT − m∠VQT = =m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS Subtraction Property of Equality ∠SQV ≅ ∠ZRS Definition of Congruency
You're welcome.
that isnt an answer
You can also have II first, then III, then I.
thanks

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