Given:

p: Angles XYZ and RST are vertical angles.
q: Angles XYZ and RST are congruent.

Which statement is logically equivalent to p → q?

If angles XYZ and RST are congruent, then they are vertical angles.
If angles XYZ and RST are not vertical angles, then they are not congruent.
If angles XYZ and RST are not congruent, then they are not vertical angles.
If angles XYZ and RST are vertical angles, then they are not congruent.

Respuesta :

Each of the pairs of opposite angles made by two intersecting lines are called vertical angles. The correct option is B.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines are called vertical angles.

Given the statement P: Angles XYZ and RST are vertical angles, and q: Angles XYZ and RST are congruent.

Now, the statement that is logically equivalent to p → q is that If angles XYZ and RST are not vertical angles, then they are not congruent.

Hence, the correct option is B.

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