Download Proof of Same-Side Interior Angles Theorem

Geometry
Notes 3-5, Proof of the Same-Side Interior Angles Theorem
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Proof of Same-Side Interior Angles Theorem
1. Given: k || l with transversal t
Prove: 1 is supplementary to 4
Statements
1.
1 and
1 and
4. m
2 and
6.
2≅
7. m
2 are linear pair angles
2 are supplementary
1 + m 2 = 180o
5.
8.
1.
k || l with transversal t
2.
3.
Reasons
1 + m
2.
3.
4.
4 are corresponding angles
4
5.
6.
4 = 180o
1 is supplementary to
7.
4
8.
GEOMETRY
Notes 2-4b, Proof of Same-Side Exterior Angles Theorem
Proof of Same-Side Interior Angles Theorem
2. Given: k || l with transversal t
Prove: 1 is supplementary to 4
k || l with transversal t
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2.
1 and
2 are linear pair angles
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5 . 2 and
4 are corresponding angles
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3 . 1 and
2 are supplementary
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6.
2≅
4
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4. m 1 + m 2 = 180o
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7. m 1 + m 4 = 180o
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8.
1 is supplementary to 4
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