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anonymous
 one year ago
Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively
When written in the correct order, the twocolumn 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
anonymous
 one year ago
Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively When written in the correct order, the twocolumn 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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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1435630309999:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2In 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2In the lines labeled I, II, and III, are you supplying both statements and reasons?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It says written in the correct order

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2How exactly was this problem given to you and how much have you filled in yourself?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2In other words, can you show exactly how the problem was given before you started working on it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0When written in the correct order, the twocolumn 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° SameSide 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

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Ok. 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?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Statements 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° SameSide 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

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Ok. Line III goes first. Then line II. Then line I.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Statements 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° SameSide 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

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You can also have II first, then III, then I.
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