Question

name
date
lesson 1.1 practice continued for use with the lesson \identify points, lines, and planes\
draw four noncollinear points a, b, c, and d. then sketch \\(\overrightarrow{ab}\\), \\(\overrightarrow{bc}\\), and \\(\overrightarrow{ad}\\).

Explanation:

• Non - collinear points: Points that do not lie on the same straight line. So we first create a set of four points with this property.
• Ray: A ray has a starting point and extends infinitely in one direction. For \(\overrightarrow{AB}\), \(A\) is the starting point and it extends through \(B\) to infinity. Similarly for \(\overrightarrow{BC}\) (starting at \(B\) and extending through \(C\)) and \(\overrightarrow{AD}\) (starting at \(A\) and extending through \(D\)). By following these steps, we can complete the required drawing.

Answer:

(This is a drawing - based problem, and the following is a description of the drawing steps)

1. First, draw four non - collinear points:

• On a piece of paper, mark point \(A\), point \(B\), point \(C\), and point \(D\) such that no three of them lie on the same straight line. For example, we can place \(A\) at the top - left, \(B\) at the top - right, \(C\) at the bottom - right, and \(D\) at the bottom - left of a roughly rectangular area, or any other arrangement where the four points do not all lie on a single line.

1. Then, sketch \(\overrightarrow{AB}\):

• Take a straight - edge. Place the tip of the pencil at point \(A\) and draw a line segment from \(A\) to \(B\), and then extend the line beyond point \(B\) to represent the ray \(\overrightarrow{AB}\). The arrow should be at the end beyond \(B\) to indicate the direction from \(A\) to \(B\) and beyond.

1. Next, sketch \(\overrightarrow{BC}\):

• Place the tip of the pencil at point \(B\) and draw a line segment from \(B\) to \(C\), and then extend the line beyond point \(C\) to represent the ray \(\overrightarrow{BC}\). The arrow should be at the end beyond \(C\) to indicate the direction from \(B\) to \(C\) and beyond.

1. Finally, sketch \(\overrightarrow{AD}\):

• Place the tip of the pencil at point \(A\) and draw a line segment from \(A\) to \(D\), and then extend the line beyond point \(D\) to represent the ray \(\overrightarrow{AD}\). The arrow should be at the end beyond \(D\) to indicate the direction from \(A\) to \(D\) and beyond.