Question

problem 12: (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 sides of a triangle are not congruent, then the angles opposite those sides 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 new statement

The new statement is \(
eg p
ightarrow
eg q\).

Step3: Recall the definitions

• Converse: \(q

ightarrow p\)

• Inverse: \(

eg p
ightarrow
eg q\)

• Contrapositive: \(

eg q
ightarrow
eg p\)

Answer:

B. inverse