Q5 - Geometry

Question

In Exercises 5-11 you will have to visualize certain lines and planes not shown in the diagram of the box. When you name a plane, name it by using four points, no three of which are collinear.

Write the postulate that assures you that $\overleftrightarrow{AC}$ exists.

Step-by-Step Solution

Answer

The postulate that assures that $\overleftrightarrow{AC}$ exists is Postulate 6 which states that there is exactly one line passing through two points.

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Write the postulate 6.

Postulate 6 states that there is exactly one line passing through two points.

Step 3. Write the postulate that assures the existence of AC.

Therefore, it can be noticed that postulate 6 which states that there is exactly one line passing through two points assures the existence of $\overleftrightarrow{AC}$.