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integrated math 6.1 points, lines, and planes \t\t\t\t\t\tdate \t\t\t\t…

Question

integrated math
6.1 points, lines, and planes \t\t\t\t\t\tdate \t\t\t\t\tperiod
name each figure below two ways.

  1. \t\t\t\t2) \t\t\t\t3) \t\t\t\t4)

draw and label each of the following.

  1. points m and n \t6) line ℓ \t\t7) \t8)

state whether the points are collinear. \t\tstate whether the points create opposite rays.

  1. yes \tno \t10) yes \tno \t11) yes \tno \t12) yes \tno

state whether the points form a plane. \t\tstate the points on and off of the plane.

  1. yes \tno \t14) yes \tno \t15) on: \toff: \t16) on: \toff:

draw and label each of the following.

  1. plane def \t\t18) collinear points o, p, and q \t19) plane ℓ with point q on the plane \t20) plane s with point t off of the plane
  1. opposite rays cd and cb above plane ghi \t\t22) line mn intersecting plane npq

Explanation:

Answer:

  1. \(\overleftrightarrow{CD}\), \(\overleftrightarrow{DC}\)
  2. \(\overleftrightarrow{JK}\), \(\overleftrightarrow{KJ}\)
  3. Plane \(L\), Plane \(M\), Plane \(N\) (any two)
  4. \(\overrightarrow{UV}\), \(\overrightarrow{VU}\) (but \(\overrightarrow{UV}\) is a ray, \(\overrightarrow{VU}\) is different as rays have direction)
  5. Yes
  6. No
  7. No
  8. No
  9. Yes
  10. No
  11. On: \(J\), \(K\), \(L\), \(M\); Off: None (assuming no off - plane points shown in the plane figure)
  12. On: \(S\); Off: \(T\), \(U\)