Question

Name the definition or state the theorem that justifies the statement about the diagram.

If $\overleftrightarrow{\text{KJ}}\perp \overleftrightarrow{\text{GH}}$, then $\angle 1$is a right angle.

Short answer

$\therefore$$\angle 1$is the right angle if$\overleftrightarrow{KJ}\perp \overleftrightarrow{GH}$ .

Step-by-step solution

Step 1. Observe the diagram.

Here, $\overleftrightarrow{KJ}\perp \overleftrightarrow{GH}$.

Step 2. Show the proof.

The expression $\overleftrightarrow{KJ}\perp \overleftrightarrow{GH}$shows that the $\overleftrightarrow{KJ}$is vertically straight on the line $\overleftrightarrow{GH}$that is horizontal and the angle that it makes is of ${90}^{\circ }$that is called the right angle. Consider$\angle 1$is the angle made between the two lines so,$\angle 1={90}^{\circ }$.

Step 3. State the conclusion.

Therefore, $\angle 1$ is the right angle if $\overleftrightarrow{KJ}\perp \overleftrightarrow{GH}$ .