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Name: 8. Part of a proof is shown. Given: ARST APTS, SPIRT, and SRIPT Prove: The sum of the measures of the Interior angles of ARST is 180° Class: Date:

Name: 8. Part of a proof is shown. Given: ARST APTS, SPIRT, and SRIPT Prove: The sum of the measures of the Interior angles of ARST is 180° Class: Date:

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Name: 8. Part of a proof is shown. Given: ARST APTS, SPIRT, and SRIPT' Prove: The sum of the measures of the interior angles of ARST is 180°. Statement 1. ARST APTS 2. 41 24 3.27 22 39 /R 37 The reason for statement 2 is 38 The reason for statement 3 is The reason for statement 5 is 2 4. m24+ m27 + m23 = 180° 5. mz1 + m2 + m23 = 180° S 16 Class: 34/7 T P Review each statement of the proof. Then select a reason that correctly supports each statement in lines 2, 3, and 5 to complete the proof. 5. Date: Reason 1. Given 2. 3. 4. Angles 3, 4, and 7 form a line. 5. O Substitution. A O Vertical angles are congruent. O Alternate interior angles are congruent. O Substitution. A O Corresponding angles are congruent. O Alternate interior angles are congruent. B O Substitution. A O Corresponding angles are congruent. O Alternate interior angles are congruent. B
Transcribed Image Text:Name: 8. Part of a proof is shown. Given: ARST APTS, SPIRT, and SRIPT' Prove: The sum of the measures of the interior angles of ARST is 180°. Statement 1. ARST APTS 2. 41 24 3.27 22 39 /R 37 The reason for statement 2 is 38 The reason for statement 3 is The reason for statement 5 is 2 4. m24+ m27 + m23 = 180° 5. mz1 + m2 + m23 = 180° S 16 Class: 34/7 T P Review each statement of the proof. Then select a reason that correctly supports each statement in lines 2, 3, and 5 to complete the proof. 5. Date: Reason 1. Given 2. 3. 4. Angles 3, 4, and 7 form a line. 5. O Substitution. A O Vertical angles are congruent. O Alternate interior angles are congruent. O Substitution. A O Corresponding angles are congruent. O Alternate interior angles are congruent. B O Substitution. A O Corresponding angles are congruent. O Alternate interior angles are congruent. B
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