2.5 Proving Statements about Segments and Angles

​2.5 Proving Statements about Segments and Angles

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Multiple Select

Which of the following can be used as reasons in a proof? Select all that apply. #14

• Definitions

• Algebraic properties

• Postulates

• Theorems

• Conjectures

Multiple Choice

Give the Reason for #1. #13

• Given

• Segment Addition Property

• Addition Property of Equality

• PQ + QR = PR

• Transitive Property of Equality

Multiple Choice

If AB=CD, then AB+EF = CD + EF. #9

• Division property of equality
• Addition Property of equalilty
• Transitive property of equality
• Substitution property of equality

Multiple Choice

JK equals LM, then line segment JK is congruent to line segment LM. #10

• Definition of midpoint
• Transitive Property of Segment Congruence

• Symmetric Property of Segment Congruence

• Definition of Congruence

Multiple Choice

If AB=BC and BC=CE then AB=CE. #11

• Transitive property of Equality

• Multiplication of equality
• Reflective property of equality
• Distributive property of equality

Multiple Choice

What is the correct reason for

Reason #3? #37

• Definition of a Straight Angle

• Prove

• Definition of a Supplementary Angles

• Transitive Property

Multiple Choice

If Q is between P and R, then PQ +QR=PR. #12

• Segment Addition postulate
• Definition of Midpoint
• Addition Property of equality
• Transitive Property of Equality

Multiple Choice

What is the missing statement in the proof? #24

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Multiple Choice

What is a flowchart proof? #16

• a proof in which the statement and reason for each step are written in boxes

• a proof in which the steps are written in the left column and the corresponding reasons are written in the right column

• a proof in which the statements and corresponding reasons are written in complete sentences

Multiple Choice

What is a two-column proof? #17

• a proof in which the statement and reason for each step are written in boxes

• a proof in which the steps are written in the left column and the corresponding reasons are written in the right column

• a proof in which the statements and corresponding reasons are written in complete sentences

Multiple Choice

What is a paragraph proof? #18

• a proof in which the statement and reason for each step are written in boxes

• a proof in which the steps are written in the left column and the corresponding reasons are written in the right column

• a proof in which the statements and corresponding reasons are written in complete sentences

Multiple Choice

Which option best fills in the blank in the proof? #19

• Substitution Property

• Definition of Linear Pair

• Definition of Supplementary Angles

• Angle Addition Postulate

Multiple Choice

Which best fills in the blank on Statement 3 ? #21

• RS + RS = RT

• ST + ST = RT

• RS + ST = RT

• RS = ST

Multiple Choice

Which of the following choices are in the correct order to fill in the proof? #20

• Given; Segment Addition Postulate; Substitution; Definition of midpoint; Addition; Simplify

• Given; Definition of midpoint; Addition; Simplify; Segment Addition Postulate; Substitution

• Given; Substitution; Addition, Simplify; Definition of midpoint; Segment Addition Postulate

Multiple Choice

What is the correct reason for

Reason #5? #39

• Symmetric Property

• Definition of Congruent Angles

• Definition of Supplementary Angles

• Prove