# Geometry: Logic Statements

### Problems

Problem : State the inverse, converse, and contrapositive of the following statement.

p : If the worker is injured, then the family sues.

Problem : State the inverse, converse, and contrapositive of the following statement.

p : If the enemy retreats, the general will pursue them.

Problem : Given the following statement, decide its truth value, and then decide the truth values of its inverse, converse, and contrapositive.

p : If a polygon has four sides, it is a pentagon.

Problem : Given the following statement, decide its truth value, and then decide the truth values of its inverse, converse, and contrapositive.

p : If a triangle is obtuse, then it has one obtuse angle.

Problem : Given the following statement, decide its truth value, and then decide the truth values of its inverse, converse, and contrapositive.

p : If two triangles are congruent, then they are similar.

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