Chapter 3: Q5 (page 89)
Plane X is parallel to plane Y. If plane Z intersects X in line l and Y in line n, then l is parallel to n.
Short Answer
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Chapter 3: Q5 (page 89)
Plane X is parallel to plane Y. If plane Z intersects X in line l and Y in line n, then l is parallel to n.
The blank should be filled with always.
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If , name all angels that must be congruent to .

If and , name all pairs of angles that must be congruent.

Write the reasons to complete the proof: If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel.

Given: Transversal t cuts lines l and n;
Prove:
Proof:
Statements | Reasons |
1. | 1. |
2. | 2. |
3. | 3. |
4. | 4. |
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 |
Make a sketch showing how to tile a floor using both squares and regular octagons.
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