Presentation top top theme: " Transversal: a line the intersects 2 coplanar lines at two various points. T (transversal) n m 1 5 6 3 4 7 2 8."— Presentation transcript:




You are watching: A line that intersects two coplanar lines at two different points

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3  Transversal: a line that intersects 2 coplanar lines at two different points. T (transversal) n m 1 5 6 3 4 7 2 8

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4  The angles formed by a transversal have special properties. Alternating interior angles T n m 1 3 4 2 ∠1 and also ∠2 space alt. Int. Angle ∠3 and ∠4 room alt. Int. Angle

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5  Same-side internal angles T n m 1 3 4 2 ∠1 and also ∠4 are same- next int. ∠3 and ∠2 space same- next int.

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6  corresponding Angles T n m 1 5 6 3 4 7 2 8 ∠2 and also ∠6 are equivalent ∠1 and also ∠7 are equivalent ∠4 and also ∠5 are corresponding ∠3 and ∠8 are corresponding

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7 1. Surname a pair of alt. Int. Angle 2. Surname a pair the same-side int. 3. Name 2 bag of corresponding. T (transversal) n m 3 1 2 4 5 7 6 8

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8  equivalent Angles Postulate (3-1) ◦ If a transversal intersects two parallel lines, then corresponding angles room congruent. ∠1 ≅ ∠2

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9 alternative Interior angle Theorem (3-1) ◦ If a transversal intersects 2 parallel lines, then alternative interior angles room congruent. Same Side interior Angles to organize (3-2) o If a transversal intersects two parallel lines, climate same-side internal angles space supplementary. ∠1 ≅ ∠3 m∠1 + m∠2 = 180 1 23

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10 Given: a ‖ b  what you recognize (either from a snapshot or statement) Prove: ∠1 ≅ ∠2  what girlfriend must show Statements reasons 1. 2. 3. 4. 1. 2. 3. 4.

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11  Prove theorem 3-2 (If a transversal intersects 2 parallel lines, climate same-side inner angles space supplementary.)  Given:  Prove: ∠1 and ∠2 space supplementary 1 23

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12  ∠6 = 50°  uncover the steps of the lacking angles

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13  discover the value of x and also y x° y° 50° 70°

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14  discover the values of x and also y, then find the measure up of the angles. 2x° y° (y-50)°

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