Chapter 3: Parallel Lines and Planes
Complete each statement with the word always, sometimes, or never.
Two lines in the plane of the floor are _?_skew.
Match the orthographic projects with their isometric drawings. If there is no isometric drawing, then make one.
In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, write none.
Tell whether the reasoning process is deductive or inductive.
Ramon noticed that spaghetti had been on the school menu for the past five Wednesdays. Ramon decides that the school always serves spaghetti on Wednesday.
Look for a pattern and predict the next two numbers in each sequence. 1, 4, 16, 64, ....
Two lines that do not intersect are parallel.
The blue line is a transversal.
a. Name four pairs of corresponding angles.
b. Name two pairs of alternate interior angles.
c. Name two pairs of same-side interior angles.
d. Name two pairs of angles that could be called alternate exterior angles.
If , name all angels that must be congruent to .
What do the arrowheads in the diagram tell you?
State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.