Honor's Pre­Algebra ­ Angle Relationships (Chapter 10­1)
Angle Relationships ­ Honor's Pre­Algebra (chapter 10­1)
Notes
Parallel Lines: Lines in a plane that do not intersect at all.
Vertical Angles:
­
­
Opposite angles (share the same vertex)
Always equal
1
2
4
3
A B
Skew Lines: Lines that do not intersect,
and yet they are also not parallel. They
lie on different planes.
Classify each pair of angles as
complementary, supplementary, or neither.
1. Adjacent: Share a common side.
D
C
125° 55°
Transversal: A line that intersects two
parallel lines.
1 2
2. 53°
57°
3 4 5 6
7 8
Find the value of x in each figure.
1. 6x° 3x°
Alternate Interior Angles: Nonadjacent
interior angles found on opposite sides of the transversal.
2. 36° 4x°
Alternate Interior angles are always
v
the same.
Alternate Exterior Angles: Nonadjacent exterior angles found on opposite sides of
the transversal.
v
Alternate exterior angles are always equal.
Corresponding Angles: Angles that have the same position on two different parallel lines cut by a transversal.
Perpendicular Lines: Lines that intersect to
form right angles.
Determine whether each statement is
sometimes, always, or never true. Give an example to support your answer.
1. Vertical angles are never complimentary.
2. Two perpendicular angles are supplementary. 1
Honor's Pre­Algebra ­ Angle Relationships (Chapter 10­1)
Angle Relationships ­ Honor's Pre­Algebra (chapter 10­1)
Notes
Parallel Lines: Lines in a plane that do not intersect at all.
Vertical Angles:
­
­
Opposite angles (share the same vertex)
Always equal
1
4
2
3
A B
Classify each pair of angles as
complementary, supplementary, or neither.
1. Adjacent: Share a common side.
C
Skew Lines: Lines that do not intersect,
and yet they are also not parallel. They
lie on different planes.
D
125° 55°
Transversal: A line that intersects two
parallel lines.
1 2
2. 53°
57°
3 4 5 6
7 8
Find the value of x in each figure.
1. 6x° 3x°
Alternate Interior Angles: Nonadjacent
interior angles found on opposite sides of the transversal.
2. 36° 4x°
Alternate Interior angles are always
v
the same.
Alternate Exterior Angles: Nonadjacent exterior angles found on opposite sides of
the transversal.
v
Alternate exterior angles are always equal.
Determine whether each statement is
sometimes, always, or never true. Give an example to support your answer.
Corresponding Angles: Angles that have the same position on two different parallel lines cut by a transversal.
1. Vertical angles are never complimentary.
Perpendicular Lines: Lines that intersect to
form right angles.
2. Two perpendicular angles are supplementary. 2
Honor's Pre­Algebra ­ Angle Relationships (Chapter 10­1)
Angle Relationships ­ Honor's Pre­Algebra (chapter 10­1)
Notes
Parallel Lines: Lines in a plane that do not intersect at all.
Vertical Angles:
­
­
Opposite angles (share the same vertex)
Always equal
1
4
2
3
A B
Classify each pair of angles as
complementary, supplementary, or neither.
1. Adjacent: Share a common side.
C
Skew Lines: Lines that do not intersect,
and yet they are also not parallel. They
lie on different planes.
D
125° 55°
Transversal: A line that intersects two
parallel lines.
1 2
2. 53°
57°
3 4 5 6
7 8
Find the value of x in each figure.
1. 6x° 3x°
Alternate Interior Angles: Nonadjacent
interior angles found on opposite sides of the transversal.
2. 36° 4x°
Alternate Interior angles are always
v
the same.
Alternate Exterior Angles: Nonadjacent exterior angles found on opposite sides of
the transversal.
v
Alternate exterior angles are always equal.
Corresponding Angles: Angles that have the same position on two different parallel lines cut by a transversal.
Perpendicular Lines: Lines that intersect to
form right angles.
Determine whether each statement is
sometimes, always, or never true. Give an example to support your answer.
1. Vertical angles are never complimentary.
2. Two perpendicular angles are supplementary. 3
Honor's Pre­Algebra ­ Angle Relationships (Chapter 10­1)
4
Honor's Pre­Algebra ­ Angle Relationships (Chapter 10­1)
5