EXAMPLE 1 Identify relationships in space
(3.1 cont.)
Think of each segment in 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
b. Line(s) skew to AF and containing point E
c. Line(s) perpendicular to AF and containing point E
d. Plane(s) parallel to plane FGH and containing point E
Solution
EXAMPLE 2 Identify parallel and perpendicular lines
Use the diagram at the right to answer each question.
a. Name a pair of parallel lines.
b. Name a pair of perpendicular lines.
c. Is AB ⊥BC ? Explain.
Solution
EXAMPLE 3 Identify angle relationships
Identify all pairs of angles of the given type. a. Corresponding,
b. Alternate interior, c. Alternate exterior, d. Consecutive interior,
Solution