LINES CUT BY A TRANSVERSAL
Vocabulary PARALLEL TRANSVERSAL ANGLE CONGRUENT VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR ANGLE SUPPLEMENTARY ANGLES STRAIGHT ANGLE
Non-Parallel Lines Cut by a Transversal 1 2 3 4 5 6 8 7
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 < 1 and < 2 are SUPLEMENTARY ANGLES They form a straight angle measuring 180 degrees.
Non-parallel lines cut by a transversal 2 1 3 4 6 5 7 8 Name other supplementary pairs.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 < 1 and < 3 are VERTICAL ANGLES They are congruent, so m <1 = m <3.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 Name other vertical angles.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 < 1 and < 5 are CORRESPONDING ANGLES They are congruent, so m <1 = m <5. Corresponding angles occupy the same relative position on the same side of the transversal.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 Name other corresponding pairs.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 < 4 and < 6 are ALTERNATE INTERIOR ANGLES They are congruent, so m < 4 = m <6. Alternate Interior Angles are on the inside of the two parallel lines and on opposite sides of the transversal.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 Name other alternate interior angles.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 < 2 and < 8 are ALTERNATE EXTERIOR ANGLES They are congruent, so m < 2 = m < 8. Alternate Exterior Angles are on the outside of the two parallel lines and on opposite sides of the transversal.
Non-parallel lines cut by a transversal 1 2 4 3 6 5 7 8 Name other alternate exterior angles.
Parallel lines cut by a transversal 2 1 3 4 6 5 7 8 Are any of the different types of angle pairs congruent?
Parallel Lines Cut by a Transversal What are the measures of the angles below? (5x + 60)° (3x – 40)° What do you know about the angles? Write the equation. Solve for x. Find the measure of each angle.
Parallel Lines Cut by a Transversal 2 1 3 4 6 5 7 8 The m < 1 is 60°. What is the m <5 ?
Parallel Lines Cut by a Transversal 2 1 3 4 6 5 7 8 The m < 6 is 120°. What is the m < 8 ?
Parallel Lines Cut by a Transversal 120° 60° 60° 120 120° 60° 60° 120°
Parallel Lines Cut by a Transversal What are the measures of the angles below? (2x – 20)° (x + 10)° What do you know about the angles? Write the equation. Solve for x. Find the measure of each angle.
Parallel Lines Cut by a Transversal What are the measures of the angles below? (3x – 120)° (2x – 60)° What do you know about the angles? Write the equation. Solve for x. Find the measure of each angle.