Parallel Line Proof

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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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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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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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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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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°

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°

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°

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°

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°

€

∠8

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73°

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∠11

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∠12

€

∠13

€

∠14

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∠15

€

∠16

€

m∠9 =73°

€

m∠7 =107°

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°

€

∠8

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73°

€

∠10

€

∠11

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∠12

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73°

€

∠14

€

∠15

€

∠16

€

m∠9 =73°

€

m∠7 =107°

€

m∠13=73°

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°

€

∠8

€

73°

€

∠10

€

∠11

€

∠12

€

73°

€

∠14

€

∠15

€

∠16

€

m∠9 =73°

€

m∠7 =107°

€

m∠13=73°

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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107°

€

∠8

€

73°

€

∠10

€

∠11

€

∠12

€

73°

€

∠14

€

∠15

€

∠16

€

m∠9 =73°

€

m∠7 =107°

€

m∠13=73°

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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∠1

€

∠2

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€

∠4

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∠5

€

∠6

€

107°

€

∠8

€

73°

€

∠10

€

∠11

€

∠12

€

73°

€

∠14

€

∠15

€

∠16

€

m∠9 =73°

€

m∠7 =107°

€

m∠13=73°

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°

€

∠8

€

73°

€

∠10

€

∠11

€

∠12

€

73°

€

∠14

€

∠15

€

∠16

€

m∠9 =73°

€

m∠7 =107°

€

m∠13=73°

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°

€

∠8

€

73°

€

∠10

€

∠11

€

∠12

€

73°

€

∠14

€

∠15

€

∠16

€

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

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°

€

∠8

€

73°

€

∠10

€

∠11

€

∠12

€

73°

€

∠14

€

∠15

€

∠16

€

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