Question

(a) problem 11: (first taught in lesson 48) select whether the statement below is the converse, inverse, or contrapositive of the following statement: if two angles are vertical angles, then they are congruent. if two angles are not congruent, then they are not vertical angles. after you pick your answer press go. a. converse b. inverse c. contrapositive

Explanation:

Let the original statement be “If \(p\) (two angles are vertical angles), then \(q\) (they are congruent)”. The contrapositive of a statement “If \(p\), then \(q\)” is “If not \(q\), then not \(p\)”. Here, \(p\) is “two angles are vertical angles” and \(q\) is “they are congruent”. The given statement “If two angles are not congruent (not \(q\)), then they are not vertical angles (not \(p\))” follows the contrapositive structure.
The converse is “If \(q\), then \(p\)” (e.g., “If two angles are congruent, then they are vertical angles”), and the inverse is “If not \(p\), then not \(q\)” (e.g., “If two angles are not vertical angles, then they are not congruent”).

Answer:

C. contrapositive