Considering the figure to the right, correct the proof of the Perpendicular Transversal Theorem. Given: <1 = 24 and ₂ 1 t at 22. Prove: 1₂ Lt Statements 24; 4₂1 t at 22 1.21 2. - || 1 3. 22 is a right angle 4. m/2 = 90° 5. m/2 + m24 = 180° Two of the reasons in the chart below do not correspond to the correct statements. Circle those two reasons. 6. 90° + m24 = 180° 7. m/4= 90° 4₂ 8. 1₂ It 12 t 1. Given 12 34 Reasons 2. Consecutive Angles Theorem 3. Definition of perpendicular lines 4. Definition of right angle 5. Converse of Alternate Interior Angles Theorem 6. Substitution property 7. Subtraction property of equality 8. Definition of perpendicular lines
Considering the figure to the right, correct the proof of the Perpendicular Transversal Theorem. Given: <1 = 24 and ₂ 1 t at 22. Prove: 1₂ Lt Statements 24; 4₂1 t at 22 1.21 2. - || 1 3. 22 is a right angle 4. m/2 = 90° 5. m/2 + m24 = 180° Two of the reasons in the chart below do not correspond to the correct statements. Circle those two reasons. 6. 90° + m24 = 180° 7. m/4= 90° 4₂ 8. 1₂ It 12 t 1. Given 12 34 Reasons 2. Consecutive Angles Theorem 3. Definition of perpendicular lines 4. Definition of right angle 5. Converse of Alternate Interior Angles Theorem 6. Substitution property 7. Subtraction property of equality 8. Definition of perpendicular lines
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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Considering the figure to the right, correct the proof of the Perpendicular Transversal Theorem.
![Considering the figure to the
right, correct the proof of the
Perpendicular Transversal
Theorem.
Given: <1 = 24 and ₂ 1 t at 22.
Prove: 1₂ It
Statements
24; 4₂1 t at 22
1.21
2. - || 1
3. 22 is a right angle
4. m/2 = 90°
5. m/2 + m24 = 180°
Two of the reasons in the chart below do not correspond
to the correct statements. Circle those two reasons.
6. 90° + m24 = 180°
7. m/4= 90°
4₂
8. 1₂ It
12
t
1. Given
12
34
Reasons
2. Consecutive Angles Theorem
3. Definition of perpendicular lines
4. Definition of right angle
5. Converse of Alternate Interior
Angles Theorem
6. Substitution property
7. Subtraction property of equality
8. Definition of perpendicular lines](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F473d91e1-190d-40ee-b19b-c34ad7c33f50%2Fcee9a9e6-5507-4765-8c17-62c632625451%2Fg183j6k_processed.png&w=3840&q=75)
Transcribed Image Text:Considering the figure to the
right, correct the proof of the
Perpendicular Transversal
Theorem.
Given: <1 = 24 and ₂ 1 t at 22.
Prove: 1₂ It
Statements
24; 4₂1 t at 22
1.21
2. - || 1
3. 22 is a right angle
4. m/2 = 90°
5. m/2 + m24 = 180°
Two of the reasons in the chart below do not correspond
to the correct statements. Circle those two reasons.
6. 90° + m24 = 180°
7. m/4= 90°
4₂
8. 1₂ It
12
t
1. Given
12
34
Reasons
2. Consecutive Angles Theorem
3. Definition of perpendicular lines
4. Definition of right angle
5. Converse of Alternate Interior
Angles Theorem
6. Substitution property
7. Subtraction property of equality
8. Definition of perpendicular lines
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