Question

use the following diagram to answer numbers 1 - 2.

1. which of the following points are collinear?

a. points t, k, and u
b. points r, y, and p
c. points s, r, and q
d. points x, r, and u
e. points q, p, and r

1. which ray is opposite of $overrightarrow{rx}$?

a. $overrightarrow{xr}$
b. $overrightarrow{ru}$
c. $overrightarrow{ry}$
d. $overrightarrow{rt}$
e. $overrightarrow{ty}$

Explanation:

Step1: Recall collinear - point definition

Collinear points lie on the same straight - line. By observing the diagram, points Q, P, and R lie on the same line within the plane.

Step2: Recall opposite - ray definition

Opposite rays are two rays that have the same endpoint and extend in opposite directions. Ray $\overrightarrow{RX}$ and ray $\overrightarrow{RU}$ have the same endpoint R and extend in opposite directions.

Answer:

1. e. Points Q, P, and R
2. b. $\overrightarrow{RU}$