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Plane P contains four distinct lines, L1, L2, L3, and L4. Suppose L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4. How are L1 and L4 related?
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A. L1 is perpendicular to L4 because L1 is parallel to L3, and L3 is parallel to L4.

B. L1 is parallel to L4 because L1 is perpendicular to L3 and L3 is parallel to L4.

C. L1 is perpendicular to L4 because L1 is perpendicular to L3 and L3 is parallel to L4.

D. L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

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chloealldaii chloealldaii · Answer 1 · 2019-05-03T00:50:06+02:00

Answer: D. L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Step-by-step explanation: Since L1 and L3 are both perpendicular to L2, L4 is parallel to L1 if L1 is parallel to L3

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-06-03T09:41:35+02:00

Answer:

The correct option is D.

Step-by-step explanation:

It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.

L1 ⊥L2, L2 ⊥ L3, L3║L4.

If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

[tex]L_1\perp L_2,L_2\perp L_3\Rightarrow L_1\parallel L_3[/tex]

Using transitive property of parallel lines.

[tex]L_1\parallel L_3,L_3\parallel L_4\Rightarrow L_1\parallel L_4[/tex]

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Therefore the correct option is D.