Q8 - Geometry

Question

State a postulate, or part of a postulate, that justifies your answer to each exercise.

Name two points that determine line l.

Step-by-Step Solution

Answer

Two points that determine line l are A and C.

Step 1. Write the postulate 6.

Postulate 6 states that exactly one line passes through any two points.

Step 2. Observe the diagram.

Now observing the given figure with two planes M and N, it can be seen that two points that are labeled on the line l are A and C.

Step 3. State two points that determine line l.

So, by using postulate 6 it can be said that the points A and C can be used to determine the line l as $\overleftrightarrow{AC}$.