LINES CUT BY A TRANSVERSAL Vocabulary PARALLEL TRANSVERSAL

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 2 1 3 4 6 5 7 8

Non-parallel lines cut by a transversal 2 1 3 4 6 7 5 8 < 1 and < 2 are SUPLEMENTARY ANGLES They form a straight angle measuring 180 degrees.

Non-parallel lines cut by a transversal 2 3 1 4 6 5 7 8 Name other supplementary pairs.

Non-parallel lines cut by a transversal 2 1 3 4 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 2 1 3 4 6 5 7 8 Name other vertical angles.

Non-parallel lines cut by a transversal 2 1 3 4 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 2 1 3 4 6 5 7 8 Name other corresponding pairs.

Non-parallel lines cut by a transversal 2 1 3 4 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 2 1 3 4 6 5 7 8 Name other alternate interior angles.

Non-parallel lines cut by a transversal 2 1 3 4 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 2 1 3 4 6 5 7 8 Name other alternate exterior angles.

Parallel lines cut by a transversal 1 2 3 7 6 4 5 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? (5 x + 60)° (3 x – 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 3 7 The m < 1 is 6 60°. What is the m <5 ? 8 5 1 4

Parallel Lines Cut by a Transversal 2 3 7 The m < 6 is 6 120°. What is the m < 8 ? 8 5 1 4

Parallel Lines Cut by a Transversal 120° 60° 60° 120° 60° 120

Parallel Lines Cut by a Transversal What are the measures of the angles below? (2 x – 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? (3 x – 120)° (2 x – 60)° What do you know about the angles? Write the equation. Solve for x. Find the measure of each angle.