MATH 213 Study Guide - Midterm Guide: Internal And External Angles, Quadrilateral, Contraposition

• School: University of Maryland
• Department: Mathematics
• Course: MATH 213
• Professor: All

Document Summary

Consider the following statement: "all parallelograms are quadrilaterals": write an equivalent if-then statement, write the converse of this statement. Explain or give a counterexample: write the contrapositive of this statement. Explain or give a counterexample: fill in the blank in the sentence below with one of the choices given: Being a parallelogram is a ____________________________________ condition for being a quadrilateral. Choices: necessary, sufficient, necessary and sufficient, neither necessary nor sufficient. Find the error in reasoning in the following proof. Prove: line l is parallel to line m. Reason: given, vertical angles ( opposite angles ) are congruent, corresponding angles property states the angles are , corresponding angles property states if corresponding angles are = then lines are parallel, identify clearly which step contains an error in reasoning. Explain why it is not valid: give the correct reason for the step you identified above which would make the proof valid. congruent parts on the diagram clearly.