lines cut by a transversal
DESCRIPTION
Vocabulary PARALLEL TRANSVERSAL ANGLE CONGRUENT VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR ANGLE SUPPLEMENTARY ANGLES STRAIGHT ANGLETRANSCRIPT
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
123 4
567 8
Non-parallel lines cut by a transversal
< 1 and < 2 are SUPLEMENTARY ANGLES
They form a straight angle measuring 180 degrees.
123 4
56
7 8
Non-parallel lines cut by a transversal
123
567 8
Name other supplementary pairs.
4
Non-parallel lines cut by a transversal
123 4
567 8
< 1 and < 3 are VERTICAL ANGLES
They are congruent, so m <1 = m <3.
Non-parallel lines cut by a transversal
Name other vertical angles.
123 4
567 8
Non-parallel lines cut by a transversal
< 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.
123 4
567 8
Non-parallel lines cut by a transversal
Name other corresponding pairs.
123 4
567 8
Non-parallel lines cut by a transversal
< 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.
123 4
567 8
Non-parallel lines cut by a transversal
123 4
567 8
Name other alternate interior angles.
Non-parallel lines cut by a transversal
< 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.
123 4
567 8
Non-parallel lines cut by a transversal
123 4
567 8
Name other alternate exterior angles.
Parallel lines cut by a transversal
123 4
567 8
Are any of the different types of angle pairs congruent?
Parallel Lines Cut by a TransversalWhat 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
123 4
567 8
The m < 1 is 60°.What is the m <5 ?
Parallel Lines Cut by a Transversal
123 4
567 8
The m < 6 is 120°.What is the m < 8 ?
Parallel Lines Cut by a Transversal
60°120°
60° 120
60°120°60° 120°
Parallel Lines Cut by a Transversal
(x + 10)°
(2x – 20)°
What do you know about the angles?
Write the equation.
Solve for x.
Find the measure of each angle.
What are the measures of the angles below?
Parallel Lines Cut by a Transversal
(2x – 60)°
(3x – 120)°
What do you know about the angles?
Write the equation.
Solve for x.
Find the measure of each angle.
What are the measures of the angles below?