Exploring Two Column Proofs for Congruent Segments

What is the first step in a two-column proof?

• State the given information

• Add segments

• Subtract segments

• State the conclusion

What property allows us to say that AB is equal to CD if segment AB is congruent to segment CD?

• Addition Property

• Subtraction Property

• Definition of Congruent Segments

• Reflexive Property

What is the reason for stating that BC is equal to BC?

• Subtraction Property

• Reflexive Property

• Definition of Congruent Segments

• Addition Property

What property is used when adding BC to both sides of the equation AB = CD?

• Addition Property

• Subtraction Property

• Reflexive Property

• Definition of Congruent Segments

What is the segment addition postulate used for in the proof?

• To state that AB + BC is equal to AC

• To state that AB is equal to CD

• To state that AC is congruent to BD

• To state that BC is equal to BC

What is the final step to prove that segment AC is congruent to segment BD?

• Addition Property

• Segment Addition Postulate

• Subtraction Property

• Definition of Congruent Segments

What is the given information in the problem involving segments QR and ST?

• QS is equal to RT

• QR is congruent to ST

• QS is congruent to RT

• QR is equal to ST

What property is used to state that RS is equal to itself?

• Addition Property

• Subtraction Property

• Definition of Congruent Segments

• Reflexive Property

What is the reason for dividing both sides of the equation by 2 in the proof involving segments AB and DE?

• Reflexive Property

• Subtraction Property

• Division Property

• Addition Property

What is the final step to prove that segment AB is congruent to segment DE?

• Subtraction Property

• Addition Property

• Segment Addition Postulate

• Definition of Congruent Segments