Geometry 2.5 Proofs Quiz

Why does the order of the statements and reasons in a proof matter?

• To show logical progression

• To make the proof longer

• To confuse the reader

• To add unnecessary information

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 deductive reasoning?

• Reasoning based on guesswork

• Reasoning based on facts and logic

• Reasoning based on intuition

• Reasoning based on emotions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.5

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

What is a theorem?

• A statement that is irrelevant

• A statement that is unprovable

• A statement that is always false

• A statement that can be proven

What is the Symmetric Property of Segment Congruence?

• If AB ≅ CD, then AB ≅ CD

• If AB ≅ CD, then AB ≅ AB

• If AB ≅ CD, then CD ≅ AB

• If AB ≅ CD, then BC ≅ AB

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

Tags

CCSS.HSG.CO.C.9

What is the Reflexive Property of Segment Congruence?

• For any segment AB, AB ≅ CD

• For any segment AB, AB ≅ BC

• For any segment AB, AB ≅ AB

• For any segment AB, AB ≅ EF

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

What is the property of congruence illustrated by the statement: If ZT ≅ ZV and ZV ≅ ZR, then ZT ≅ ZR?

• Transitive Property of Angle Congruence

• Symmetric Property of Segment Congruence

• Reflexive Property of Angle Congruence

• Transitive Property of Segment Congruence

What is the property of congruence illustrated by the statement: If JL ≅ YZ, then YZ ≅ JL?

• Reflexive Property of Segment Congruence

• Symmetric Property of Segment Congruence

• Transitive Property of Angle Congruence

• Transitive Property of Segment Congruence