I need help with this geometry question asap!
1 answer:
Answer:
True
Step-by-step explanation:
Lines in three dimensions can be one of ...
- coincident
- parallel
- intersecting (at one point)
- skew
Lines are coplanar when a plane can be defined that includes the entirety of both of them. In the attached image, lines m₁ and n intersect and both lie in the gray plane. They are coplanar.
Lines m and m₁ are parallel, and both are contained in the turquoise plane. They are coplanar. A plane can always be drawn that will contain a pair of parallel lines. That is, any two parallel lines must be coplanar.
The lines m and n in the figure are <em>skew</em>, non-intersecting and non-parallel. They cannot be contained in a single plane.
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<em>Additional comment</em>
Three or more parallel lines may not be coplanar. They will only definitely be coplanar when considered in pairs.
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Answer:
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
Step-by-step explanation:
From the given question, the proof can be completed as;
Statement Reason
1. <2 and < 1 are complementary (47) c. given
<3 and <1 are complementary
2. m<2 + m<1 = (48) b. definition of complementary angles
m<3 + m<1 =
3. m<2 + m<1 = m<3 + m<1 3. Substitution property
4. (49) a, m<2 = m<3 4. Subtraction property
5. <2 ≅ <3 (50) d. definition of congruent angles
Therefore,
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles