University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

367

Pages:

2
Author:

Yasmine Burch

Notetaking with Vocabulary (continued) Content: Core Concepts Undefined Terms: Point, Line, and Plane Point: A point has no dimension. It is represented by a dot. Example: Point A Line A line has one dimension. It is represented by a line with two arrowheads, but it extends without end. Through any two points, there is exactly one line. You can use any two points on a line to name it. Example: line AB, line BA, or line l Plane A plane has two dimensions. It is represented by a shape that looks like a floor or a wall, but it extends without end. Through any three points not on the same line, there is exactly one plane. You can use three points that are not all on the same line to name a plane. Example: plane M, or plane ABC Notes: Collinear: Points that lie on the same line. Diagram: Shows points lying on a line. Defined Terms: Segment and Ray The definitions below use line AB (written as AB) and points A and B. Segment: The line segment AB, or segment AB (written as AB), consists of the endpoints A and B and all points on AB that are between A and B. Note that AB can also be named BA. Diagram: Shows a line segment with endpoints A and B. Ray: The ray AB (written as AB) consists of the endpoint A and all points on AB that lie on the same side of A as B. Note that AB and BA are different rays. Diagram: Shows a ray with endpoint A and extending through point B. Opposite Rays: If point C lies on AB between A and B, then CA and CB are opposite rays. Diagram: Shows a line with points A, B, and C, where C is between A and B. CA and CB are indicated as opposite rays. Diagram: Shows an example of points that are not opposite rays. Extra Practice In Exercises 1-4, use the diagram. Give two other names for plane M. ACE AEC ECA EAC CAE CEA Name three points that are collinear. Then name a fourth point that is not collinear with these three points. A, C, B are collinear. D is not collinear with A, C, B, E. Name three points that are coplanar with points A, C, E. A, C, E, B are coplanar. D is not coplanar with A, C, E. Name a point that is not coplanar with points A, C, E. D is not coplanar with A, C, E. In Exercises 5-8, use the diagram. What is another name for (\overrightarrow{PQ})? (\overrightarrow{QP}), line l What is another name for (\overline{RS})? (\overline{SR}), line k Name all rays with endpoint T. Which of these rays are opposite rays? (\overrightarrow{TP}), (\overrightarrow{TQ}), (\overrightarrow{TS}) Opposite rays: (\overrightarrow{TP}), (\overrightarrow{TQ}) On the diagram, draw planes M and N that intersect at line k. A diagram is shown with planes M and N intersecting at line k. In Exercises 9 and 10, sketch the figure described. (\overline{AB}) and (\overline{BC}) A diagram shows two line segments, AB and BC, connected at point B. line k in plane M A diagram shows a line k within a plane M.