Topic/Objective: Section 3.1
Name:
Date:
Notes #16 Identify Pairs of Lines and Angles
Period:
Essential Question: What angle pairs are formed by transversals?
Questions:
Notes:
Parallel lines Two lines are __________ lines if they do not intersect and are coplanar
Skew lines Two lines are ______ lines if they do not intersect and are not coplanar.
Parallel planes Two planes that do not intersect are __________ planes
Transversal A ___________ is a line that intersects two or more coplanar lines at
different points
Corresponding angles Two angles are ________________________if they have corresponding
positions.
Alternate interior angles Two angles are ________________________if they lie between the two
lines and on opposite sides of the transversal
Alternate exterior angles Two angles are ________________________if they lie outside the two
lines and on opposite sides of the transversal
Consecutive interior angles Two angles are ________________________if they lie between the two
lines and on the same side of the transversal
Example 1 Think of each segment if the figure as part of a line.
Which line(s) or plane(s) in the figure appear to fit the description?
⃡
a. Line(s) parallel to 𝐴𝐹
and containing point E
⃡ and containing point E
b. Line(s) skew to 𝐴𝐹
c. Line(s) perpendicular to ⃡𝐴𝐹 and containing point E
d. Plane(s) parallel to plane FGH and containing point E
Postulate 13 If there is a line and a point not on the line, then there is ___________
Parallel Postulate line through the point parallel to the given line.
There is exactly one line through P parallel to l.
Postulate 14 If there is a line and a point not on the line, then there is _________ line
Perpendicular Postulate through the point perpendicular to the given line.
Example 2
Questions: Notes:
Think of each segment in the diagram as part of a line. Fill in the
blank with parallel, skew, or perpendicular.
a) ⃡𝐷𝐸 𝑎𝑛𝑑 ⃡𝐶𝐹 𝑎𝑟𝑒 _____________________.
⃡ , 𝐵𝐸
⃡ 𝑎𝑟𝑒 _____________________.
⃡ 𝑎𝑛𝑑 𝐶𝐹
b) 𝐴𝐷
c) Plane ABC and plane DEF are ____________.
d) ⃡𝐵𝐸 𝑎𝑛𝑑 ⃡𝐴𝐵 𝑎𝑟𝑒 _____________________.
Example 3 Identify all pairs of angles of the given type.
a.
Corresponding
b.
Alternate interior
c.
Alternate exterior
d.
Consecutive interior
Independent Practice: Complete the statement with corresponding, alternate interior,
alternate exterior, or consecutive interior.
a) 3 and 5 are ____________________ angles.
b) 2 and 6 are ____________________ angles.
c) 1 and 7 are ____________________ angles.
d) 4 and 5 are ____________________ angles.
Summary:
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