Download Lines Cut by a Transversal

LINES CUT BY A
TRANSVERSAL
Vocabulary
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PARALLEL
TRANSVERSAL
ANGLE
CONGRUENT
VERTICAL ANGLES
CORRESPONDING ANGLES
ALTERNATE INTERIOR ANGLES
ALTERNATE EXTERIOR ANGLES
LINEAR PAIR
STRAIGHT ANGLES
Non-Parallel Lines Cut by a Transversal
2 1
3 4
6 5
7 8
∠
Non-parallel lines cut by a transversal
1
3 4
2
6
7
∠1
5
8
and ∠ 2 are a LINEAR PAIR
They form a straight angle measuring 180 degrees.
Since their sum is 180°, they are supplementary.
Non-parallel lines cut by a transversal
2 1
3 4
6 5
7 8
Name other linear 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
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
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
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
5
6
7
4
8
Are any of the special angle pairs congruent?
Parallel Lines Cut by a Transversal
2
3
6
7
The m ∠ 1 is
1
4
5
8
60°.
What are the measures of the other numbered
angles?
Parallel Lines Cut by a Transversal
2
3
The m
4
5
6
7
1
8
∠ 6 is ∠ 140°.
What are the measures of the other numbered angles?
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
What are the measures of the angles below?
(2x –15)°
2
3
5
6
(x +12)°
4
8
Find the measure of each angle.
Parallel Lines Cut by a Transversal
What are the measures of the angles below?
2
(3x – 120)°
4
(2x – 60)°
6
7
1
8
Find the measure of each angle.