lesson 7 - solving for unknown angles - … 7_honors.pdflesson 7 - solving for unknown angles -...

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Lesson7.notebook September 04, 2015 LESSON 7 - SOLVING FOR UNKNOWN ANGLES - TRANSVERSALS transversal Exterior <s Interior <s a coplanar line that intersects 2 other coplanar lines in different points

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Page 1: LESSON 7 - SOLVING FOR UNKNOWN ANGLES - … 7_Honors.pdfLESSON 7 - SOLVING FOR UNKNOWN ANGLES - TRANSVERSALS transversal Exterior

Lesson7.notebook September 04, 2015

LESSON 7 - SOLVING FOR UNKNOWN ANGLES - TRANSVERSALS

transversal

Exterior <s

Interior <s

a coplanar line that intersects 2 other coplanar lines in different points

Page 2: LESSON 7 - SOLVING FOR UNKNOWN ANGLES - … 7_Honors.pdfLESSON 7 - SOLVING FOR UNKNOWN ANGLES - TRANSVERSALS transversal Exterior

Lesson7.notebook September 04, 2015

Corresponding angles: angles occupying corresponding positions relative to the two lines

1

2

1

2

2

1

1

2

Same-side interior angles: two interior angles on the same side of the transversal

1 1

2 21

2

Page 3: LESSON 7 - SOLVING FOR UNKNOWN ANGLES - … 7_Honors.pdfLESSON 7 - SOLVING FOR UNKNOWN ANGLES - TRANSVERSALS transversal Exterior

Lesson7.notebook September 04, 2015

Alternate interior angles: two interior angles on opposite sides of the transversal

12

1

2

Alternate exterior angles: two exterior angles that are on opposite sides of the transversal

1

2

1

2

Page 4: LESSON 7 - SOLVING FOR UNKNOWN ANGLES - … 7_Honors.pdfLESSON 7 - SOLVING FOR UNKNOWN ANGLES - TRANSVERSALS transversal Exterior

Lesson7.notebook September 04, 2015

Postulate: If lines are parallel, then corresponding angles are congruent.

Theorem: If lines are parallel, then alternate interior angles are congruent.

Theorem: If lines are parallel, then alternate exterior angles are congruent.

Theorem: If lines are parallel, then same-side interior angles are supplementary.

If 2 ll lines are cut by a transversal, then: