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.

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Presentation transcript:

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 combine those facts with things you already know to generate a new piece of information.

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

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

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 Given 2. Given

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 Given 2. Given 3. Given

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 k Given 2. Given 3. Given

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 k Given 2. Given 3. Given

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 k Given 2. Given 3. Given

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 k Given 2. Given 3. Given 4. Corresponding Angle Postulate

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 k Given 2. Given 3. Given 4. Corresponding Angle Postulate

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 k Given 2. Given 3. Given 4. Corresponding Angle Postulate

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 crossing two lines 1. Line l is parallel to Line k Given 2. Given 3. Given 4. Corresponding Angle Postulate

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 crossing two lines are supplementary, 1. Line l is parallel to Line k Angles 7 & 13 are supplementary 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate = 180

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 crossing two lines are supplementary, then the two lines are parallel. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate = Same-side interior angle theorem converse 1. Line l is parallel to Line k Angles 7 & 13 are supplementary 6. 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 transversal crossing two lines are supplementary, then the two lines are parallel. 1. Given 2. Given 3. Given 4. Corresponding Angle Postulate = Same-side interior angle theorem converse 1. Line l is parallel to Line k Angles 7 & 13 are supplementary 6. Line m is parallel to Line p