Logic Statements and Proofs in Geometry

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

What is "given information" in a proof?

• Words or information from a picture/diagram that is given to the problem solver

• The answer

• The properties you use to write a proof.

• Answer not listed

Why are proofs necessary in geometry?

• Because we all love them

• To make this class harder

• Shows that you understand clear, logical thinking

What is a two-column proof?

• A proof with two different conclusions

• A proof with numbered statements and corresponding reasons

• A proof with two columns of text

• A proof with two sets of reasons

What is the Transitive Property of Angle Congruence?

• If ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠A ≅ ∠C

• If ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠A ≅ ∠B

• If ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠B ≅ ∠C

• If ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠C ≅ ∠Q

What is the property of congruence illustrated by the statement: If AB ≅ CD and CD ≅ EF, then AB ≅ EF?

• Reflexive Property of Segment Congruence

• Symmetric Property of Segment Congruence

• Transitive Property of Segment Congruence

• Transitive Property of Angle Congruence

What is the Symmetric Property of Angle Congruence?

• If ∠A ≅ ∠B, then ∠A ≅ ∠B

• If ∠A ≅ ∠B, then ∠B ≅ ∠A

• If ∠A ≅ ∠B, then ∠A ≅ ∠C

• If ∠A ≅ ∠B, then ∠B ≅ ∠C

What is the property of congruence illustrated by the statement: If ∠X ≅ ∠Y, then ∠Y ≅ ∠X?

• Reflexive Property of Angle Congruence

• Symmetric Property of Angle Congruence

• Transitive Property of Angle Congruence

• Transitive Property of Segment Congruence

What is the property of congruence illustrated by the statement: PQ ≅ PQ?

• Reflexive Property of Segment Congruence

• Symmetric Property of Segment Congruence

• Transitive Property of Segment Congruence

• Transitive Property of Angle Congruence

What is the reason for using a two-column proof?

• To make the proof look organized

• To show off writing skills

• To provide a logical deductive order for the proof's argument

• To confuse the reader