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A line containing C, A, and R. Give all the possible names of the line

A Line Containing C A And R Give All The Possible Names Of The Line class=

Sagot :

Answer: CA, AC, CR, RC, AR, RA

Step-by-step explanation:

lII. Draw a related picture for each of the following:

16. A line containing C, A, and R. Give all the possible names of the lines.

- Drawing: Draw a straight line and label three points on it as C, A, and R.

- Possible names: Since a line is defined by any two points on it, the possible names for the line include:

- Line CA

- Line CR

- Line AR

- Line AC

- Line RC

- Line RA

17. A plane M containing points B, U, and S. Give another name for plane M.

- Drawing: Draw a flat surface (plane) and mark three points B, U, and S on it.

- Another name: Since a plane can be named by any three non-collinear points on it, another name for plane M could be `plane BUS`.

18. A point Q on DR but not on RC

- Drawing: Draw a line with points D and R. Mark a point Q on the segment DR such that it does not align with another line RC.

- Point Q: Ensure Q is positioned between D and R but not necessarily in line with R and C.

19. A point T on AM but not on AM

- Clarification Needed: This statement seems contradictory. If it means "a point T on one portion of AM but not on another portion of AM," it suggests splitting line AM into segments.

- Drawing: Draw line AM and mark point T somewhere along it. Indicate that T does not lie on another segment, if such a segment is defined.

20. Two lines that are perpendicular

-Drawing: Draw two lines that intersect at a right angle (90 degrees).

- Perpendicular Lines: Label the lines, for example,

[tex] {line} \( l_1 \) \: and \: line \ \: ( l_2 \), \: showing \: they \: form \: a \: right \: angle \: at \: their \: intersection.

[/tex]

III. Draw a related picture for each of the following:

21. Collinear points A, B, C, D, and E such that:

  • AB and AC are opposite rays: A must be between B and C.
  • AC and AD are the same rays: C must be between A and D.
  • BA and BE are opposite rays: A must be between B and E.

Drawing Steps:

- Draw a straight line and place points in the following order: E, B, A, C, D.

Explanation:

  • AB is opposite to AC.
  • AC is the same as AD.
  • BA is opposite to BE.

22. Collinear points A, B, C, D, and E such that:

  • AE + EB = AB: E is between A and B.
  • AC + CD = AD: C is between A and D.
  • AD + DE = AE: D lies between A and E.

Drawing Steps:

- Draw a straight line and place points in a logical sequence to satisfy these conditions. A possible arrangement could be A, E, B, C, D.