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1 vote
If n ∥ p and pm, then _____.
a) pl

b) np

c) nm

d) l ∥ m

User Agostinho
by
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1 Answer

5 votes

Final Answer:

If n ∥ p and pm, then b) nₚ

Step-by-step explanation:

When given that n ∥ p and pm, it implies that n is parallel to p and p is parallel to m. Therefore, by the transitive property of parallel lines, n is also parallel to m. The correct completion of the statement is b) nₚ, indicating that n is parallel to both p and m.

In geometry, the parallel line transitive property states that if one line is parallel to a second line, and the second line is parallel to a third line, then the first line is parallel to the third line. In this scenario, n is parallel to p and p is parallel to m, so n must be parallel to m as well. Therefore, the correct completion of the statement is b) nₚ, signifying that n is parallel to both p and m.

In summary, the relationship n ∥ p and pm implies that n is parallel to both p and m, making the correct answer b) nₚ. This aligns with the transitive property of parallel lines in geometry.

User Troubleshoot
by
8.1k points
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