Q20. - Geometry

Question

Refer to a number line that is not pictured here. Point $A$ has coordinate 2 and point $B$ has coordinate 5.

What is the coordinate of a point that is 4 units from $B$, but is not on $\overrightarrow{AB}$?

Step-by-Step Solution

Answer

The required coordinate is 1.

Step 1. Make the number line.

Make a number line that consists of two points $A$ and $B$ according to the provided information and a number 0 between $A$ and $B$.

Step 2. Observe the number line.

The mentioned point is 4 units far from the point $B$ therefore to reach the required point the gap should be subtracted from the coordinate of $B$.

Step 3. Make the conclusion.

If the subtraction of 4 from the coordinate of $B$ performed, then it will return a value 1 which is the required coordinate because is not available on the ray $AB$.