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Vertical angles are congruent.
: If two angles are vertical angles, then they are congruent.
: If the angles are vertical, then the angles are congruent.
When is a conditional statement true?
If angles are vertical and congruent, the statement is true (
: If two angles are congruent, then they are vertical angles.
Using symbols, if
is a conditional,
is its converse
The converse is
If an angle is bisected, then the two smaller angles are congruent but not vertical angles.
: If two angles are not vertical angles, then they are not congruent.
The inverse of a conditional is formed by negating both
is the conditional, ~
The inverse is
. If two right angles are adjacent, then they are not vertical, but they are congruent.
: If two angles are not congruent, then they are not vertical angles.
The contra-positive of
The contra-positive is true (