Question

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

If $\overleftrightarrow{RS}\perp \overleftrightarrow{TV}$, then $\angle 5$, $\angle 6$, $\angle 7$, and $\angle 8$are right angles.

Short answer

The used definition is the definition of congruent angles.

Step-by-step solution

Step 1. Observe the given statement and figure.

The provided angles are the angles of provided two lines and each angle is having a measurement of 90°.

Step 2. Identify the definition or theorem.

The observation of the statement returns the definition of congruent angles that is the congruent angles are those angles which are having the equal measurement for all the angles.

Step 3. State whether the definition is true or not.

As the definition of congruent angle matches with the provided statement so the definition of congruent angle is the required definition.