Presentation on theme: " Transversal: a line that intersects two coplanar lines in ~ two different 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 the intersects two coplanar lines in ~ two various points. T (transversal) n m 1 5 6 3 4 7 2 8

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

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

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

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

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

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

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10 Given: a ‖ b  what you understand (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 to organize 3-2 (If a transversal intersects 2 parallel lines, climate same-side inner angles room supplementary.)  Given:  Prove: ∠1 and ∠2 space supplementary 1 23

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12  ∠6 = 50°  find the procedures of the absent angles

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13  find the value of x and y x° y° 50° 70°

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

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