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
1
2
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
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
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.
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
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
8 equivalent Angles Postulate (3-1) ◦ If a transversal intersects two parallel lines, then corresponding angles room congruent. ∠1 ≅ ∠2
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
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.
See more: How Many Pages Is 8,000 Words ? How Many Pages Is 8000 Words
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
12 ∠6 = 50° uncover the steps of the lacking angles
13 discover the value of x and also y x° y° 50° 70°
14 discover the values of x and also y, then find the measure up of the angles. 2x° y° (y-50)°
