Question

1. draw four points (a, b, c, and d) on a line so that $overrightarrow{ac}$ and $overrightarrow{ab}$ are opposite rays and $overrightarrow{ac}$ and $overrightarrow{ad}$ are the same ray.

Explanation:

Step1: Recall ray - definition

A ray has an initial point and extends infinitely in one direction. Opposite rays share the same initial point and form a straight - line.

Step2: Place points

Place point A as the common initial point. Place point B and C such that $\overrightarrow{AB}$ and $\overrightarrow{AC}$ are opposite rays (i.e., B and C are on opposite sides of A on the line). Then place point D on the same side of A as C so that $\overrightarrow{AC}$ and $\overrightarrow{AD}$ are the same ray.

Answer:

Draw a line. Mark point A. Mark point B on one side of A and point C on the opposite side of A from B. Mark point D on the same side of A as C.