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QUESTION IMAGE

8. name the ray in two different ways. 9. draw and label the ray. mn 10…

Question

  1. name the ray in two different ways.
  2. draw and label the ray.

mn

  1. draw a plane containing four coplanar points a, b, c, and d, with exactly three collinear points a, b, and d.

Explanation:

Step1: Name the ray for question 8

A ray is named by its endpoint first. The ray in the first - figure can be named as $\overrightarrow{MP}$ and $\overrightarrow{NP}$ since a ray extends infinitely in one direction from its endpoint.

Step2: Draw the ray for question 9

To draw the ray $\overrightarrow{MN}$, start at point $M$ and draw a straight line passing through point $N$ and extend it infinitely in the direction of $N$. Mark the endpoint as $M$ and label the ray as $\overrightarrow{MN}$.

Step3: Draw the plane for question 10

Draw a flat surface (a plane). Place points $A$, $B$, $C$, and $D$ on the plane. Place points $A$, $B$, and $D$ on a straight - line (to make them collinear) and place point $C$ such that it is on the same plane but not on the line containing $A$, $B$, and $D$.

Answer:

  1. $\overrightarrow{MP}$, $\overrightarrow{NP}$
  2. Draw a ray starting at $M$ and passing through $N$ with an arrowhead indicating it extends infinitely in the direction of $N$.
  3. Draw a plane with points $A$, $B$, $C$, $D$ on it where $A$, $B$, $D$ are on a straight line and $C$ is not on that line.