parallel line proof. parallel line proof the idea behind a proof is that you begin with information...
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![Page 1: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/1.jpg)
Parallel Line Proof
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![Page 2: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/2.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
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![Page 3: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/3.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
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![Page 4: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/4.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
1. Line l is parallel to Line k
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![Page 5: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/5.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
1. Line l is parallel to Line k
1. Given
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![Page 6: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/6.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
1. Line l is parallel to Line k2.
1. Given
2. Given
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107°
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m∠7 =107°
![Page 7: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/7.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
1. Line l is parallel to Line k2.3.
1. Given
2. Given3. Given
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107°
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73°
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m∠9 =73°
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m∠7 =107°
![Page 8: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/8.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
Then use the rules and definitions you know….
1. Line l is parallel to Line k2.3.
1. Given
2. Given3. Given
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107°
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73°
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m∠9 =73°
€
m∠7 =107°
![Page 9: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/9.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. If two parallel lines
1. Line l is parallel to Line k2.3.
1. Given
2. Given3. Given
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107°
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73°
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m∠9 =73°
€
m∠7 =107°
![Page 10: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/10.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. If two parallel lines are crossed by a transversal,
1. Line l is parallel to Line k2.3.
1. Given
2. Given3. Given
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107°
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73°
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∠11
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∠12
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∠14
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€
m∠9 =73°
€
m∠7 =107°
![Page 11: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/11.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. If two parallel lines are crossed by a transversal, then corresponding angles are congruent.
1. Line l is parallel to Line k2.3.4.
1. Given
2. Given3. Given4. Corresponding Angle Postulate
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107°
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73°
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∠10
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∠11
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∠12
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73°
€
∠14
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∠15
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m∠9 =73°
€
m∠7 =107°
€
m∠13=73°
![Page 12: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/12.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. If two parallel lines are crossed by a transversal, then corresponding angles are congruent.
3. If two same-side interior angles
1. Line l is parallel to Line k2.3.4.
1. Given
2. Given3. Given4. Corresponding Angle Postulate
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107°
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∠8
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73°
€
∠10
€
∠11
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∠12
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73°
€
∠14
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∠15
€
∠16
€
m∠9 =73°
€
m∠7 =107°
€
m∠13=73°
![Page 13: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/13.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. When two parallel lines are crossed by a transversal, corresponding angles are congruent.
3. If two same-side interior angles created by a transversal
1. Line l is parallel to Line k2.3.4.
1. Given
2. Given3. Given4. Corresponding Angle Postulate
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∠5
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∠6
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107°
€
∠8
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73°
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∠10
€
∠11
€
∠12
€
73°
€
∠14
€
∠15
€
∠16
€
m∠9 =73°
€
m∠7 =107°
€
m∠13=73°
![Page 14: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/14.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. When two parallel lines are crossed by a transversal, corresponding angles are congruent.
3. If two same-side interior angles created by a transversalcrossing two lines
1. Line l is parallel to Line k2.3.4.
1. Given
2. Given3. Given4. Corresponding Angle Postulate
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∠5
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∠6
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107°
€
∠8
€
73°
€
∠10
€
∠11
€
∠12
€
73°
€
∠14
€
∠15
€
∠16
€
m∠9 =73°
€
m∠7 =107°
€
m∠13=73°
![Page 15: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/15.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. When two parallel lines are crossed by a transversal, corresponding angles are congruent.
3. If two same-side interior angles created by a transversalcrossing two lines are supplementary,
1. Line l is parallel to Line k2.3.4.
5. Angles 7 & 13 are supplementary
1. Given
2. Given3. Given4. Corresponding Angle Postulate5. 107 + 73 = 180
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107°
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73°
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∠10
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∠11
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∠12
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73°
€
∠14
€
∠15
€
∠16
€
m∠9 =73°
€
m∠7 =107°
€
m∠13=73°
![Page 16: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/16.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. When two parallel lines are crossed by a transversal, corresponding angles are congruent.
3. If two same-side interior angles created by a transversalcrossing two lines are supplementary, then the two lines are parallel. 1. Given
2. Given3. Given4. Corresponding Angle Postulate5. 107 + 73 = 1806. Same-side interior angle theorem converse
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107°
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73°
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∠10
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∠11
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∠12
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73°
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∠14
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∠15
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m∠9 =73°
€
m∠7=107°
€
m∠13=73°
1. Line l is parallel to Line k2.3.4.
5. Angles 7 & 13 are supplementary6. Line m is parallel to Line p
![Page 17: Parallel Line Proof. Parallel Line Proof The idea behind a proof is that you begin with information that is given to you as part of the problem and you](https://reader036.vdocuments.mx/reader036/viewer/2022062515/56649cee5503460f949bc69b/html5/thumbnails/17.jpg)
Parallel Line Proof
The idea behind a proof is that you begin with information that is given to you as part of the problem and you combine those facts with things you already know to generate a new piece of information.
1. Start with what is given, and put it in your proof.
2. When two parallel lines are crossed by a transversal, corresponding angles are congruent.
3. If two same-side interior angles created by a transversalcrossing two lines are supplementary, then the two lines are parallel.
1. Given2. Given3. Given4. Corresponding Angle Postulate5. 107 + 73 = 1806. Same-side interior angle theorem converse
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107°
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∠8
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73°
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∠10
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∠11
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∠12
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73°
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∠14
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∠15
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∠16
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m∠9 =73°
€
m∠7=107°
€
m∠13=73°
1. Line l is parallel to Line k2.3.4.
5. Angles 7 & 13 are supplementary6. Line m is parallel to Line p