Question

1.1.1 i can identify, draw, and label points, lines, rays, angles, planes, collinear points, coplanar points, parallel lines, and skew lines.
examples: read each of the following statements and determine whether they are true or false. if it is false, give an explanation as to why.

1. line - segment ab is the same line - segment as ba.

explanation:

1. a ray continues forever in both directions.

explanation:

1. ∠fgh can also be written as ∠gfh.

explanation:

1. parallel lines need to face in the same direction and can never intersect.

explanation:

1. more than 3 lines can lie within a plane.

explanation:

1. ray lm is the same ray as ml.

explanation:

1. the vertex of ∠abc is point b.

explanation:

Explanation:

1. A line - segment has two endpoints. Segment AB and BA have the same two endpoints, so the statement is true.
2. A ray has one endpoint and extends infinitely in one direction only, not in both, so the statement is false.
3. When naming an angle, the vertex must be in the middle. ∠FGH and ∠G are not the same (assuming G is the vertex), so the statement is false.
4. Parallel lines are lines in a plane that do not intersect and can be oriented in any way relative to each other in terms of direction, so the statement is false.
5. A plane can contain an infinite number of lines, so more than 3 lines can lie within a plane, and the statement is true.
6. A ray has a starting - point and extends infinitely in one direction. Ray LM and ray ML have different starting - points, so the statement is false.
7. In ∠ABC, the vertex is point B, so the statement is true.

Answer:

1. T
2. F
3. F
4. F
5. T
6. F
7. T