Chapter 3: Q9 (page 86)
In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.
There are no segments available that are parallel.
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Alan tried to prove Postulate 10 as shown below. However, he did not have valid proof. Explain why not.
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Given ; transversal cuts and
Prove:
Statement | Reason |
1. | Given |
2. | If two parallel lines are cut by transversal then alt. int. are |
3. | Vert. are |
4. | Transitive Property |
Write proofs in two-column form.
Given:
Prove: is supplementary to
Classify each pair of angles as alternate interior, same side interior or corresponding angles
and 
State the postulate or theorem that justifies each statement.
is supplementary to
Complete each statement with the word always, sometimes, or never.
Two planes parallel to the same line are parallel to each other
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