Parallel Lines and Transversals with Algebra

Notes-Parallel Lines and Transversals

Parallel Lines

Remember, Parallel lines are lines that lie in the same plane that do not intersect!

Transversals

Transversals are lines that intersect two or more lines

When a transversal intersects a pair of PARALLEL LINES , 8 angles are formed

These angles have special relationships that you have to remember

Interior v. Exterior

Interior means BETWEEN the parallel lines

Exterior means OUTSIDE the paralell lines

Consecutive v. Alternate

Consecutive means on the SAME SIDE of the TRANSVERSAL

Alternate means on DIFFERENT SIDES of the TRANSVERSAL

Corresponding Angles

Angles that are in the same position on each parallel line

Corresponding Angles are CONGRUENT

Which of these angles are corresponding?

ALTERNATE INTERIOR ANGLES

Angles inside the parallel lines but on different sides of the transversal

Alternate Interior Angles are CONGRUENT

Which of these angles is the alternate interior?

ALTERNATE EXTERIOR ANGLES

Angles OUTSIDE the parallel lines but on different sides of the transversal

Alternate Exterior Angles are CONGRUENT

Which of these angles is the alternate exterior?

CONSECUTIVE INTERIOR ANGLES

(same side interior)

Angles INSIDE the parallel lines AND on SAME sides of the transversal

Consecutive Interior Angles are SUPPLEMENTARY (=180)

Which of these angles is the consecutive interior?

CONSECUTIVE EXTERIOR ANGLES

(same side exterior)

Angles OUTSIDE the parallel lines AND on SAME sides of the transversal

Consecutive Exterior Angles are SUPPLEMENTARY (=180)

Which of these angles is the Consecutive Exterior?

FRIDAY'S ELBC ASSIGNMENT

USATESTPREP

Assignment: CO.9 Practice-Prove Theorems about Lines and Angles 

Due Friday, October 2, 2020 by 11:59PM