Question

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

Explanation:

Step1: Define the original statement

Let \(p\): two sides of a triangle are congruent. Let \(q\): the angles opposite those sides are congruent. The original statement is \(p
ightarrow q\).

Step2: Analyze the given statement

The given statement: Let \(
eg q\): two angles of a triangle are not congruent. Let \(
eg p\): the sides opposite those angles are not congruent. The given statement is \(
eg q
ightarrow
eg p\).

Step3: Recall logical relationships

The contrapositive of \(p
ightarrow q\) is \(
eg q
ightarrow
eg p\).

Answer:

C. contrapositive