Question

choose the converse of the conditional statement and decide whether it is true or false.
if two angles are vertical angles, then they are congruent.
the converse of the conditional statement is: if two angles are ▼, then they are ▼. the
statement is ▼.

Explanation:

Step1: Identify the converse of the conditional statement

The original conditional statement is "If two angles are vertical angles, then they are congruent". The converse of a conditional statement "If \(p\), then \(q\)" is "If \(q\), then \(p\)". So the converse is "If two angles are congruent, then they are vertical angles".

Step2: Determine the truth - value of the converse

Congruent angles are angles that have the same measure. For example, two angles of \(30^{\circ}\) in different parts of a figure (not formed by two intersecting lines) are congruent but not vertical angles. Vertical angles are formed by two intersecting lines. So the converse is false.

Answer:

The converse of the conditional statement is "If two angles are congruent, then they are vertical angles" and it is false.