Question

Use the figure at the right. Determine whether the given statement is true or false.

$E+D=G+H$

Short answer

The given statement is False.

Step-by-step solution

Step 1. Given Information 

We are given a statement $E+D=G+H$and we need to find if the statement is true or false.

Step 2. Proving the statement 

$G+H$implies addition of two vectors.

So the terminal point of the vector $H$is joined with the initial point of the vector $G$forming vector $G+H$.

The vectors $E,D$cannot be added because the terminal points of the vectors role="math" localid="1646714615588" $E,D$are joined.

Again, the initial and terminal points of vectors $E+D,G+H$should coincide., which is not the case.

$\therefore E+D\ne G+H$

Therefore, the given statement $E+D=G+H$is false.