Intro to Proofs

Given segment BC with point x on the segment between points B and C.  What is the best choice for the missing reason?

• Definition of segment congruence
• Definition of a midpoint
• Definition of a segment
• Segment addition postulate

Tags

CCSS.HSG.CO.C.10

What is the reason?

• Definition of vertical angles
• Angle addition postulate
• Definition of angle bisectors
• Vertical angles are congruent

Tags

CCSS.7.G.B.5

What is the reason?

• Definition of adjacent angles
• Definition of angle congruence
• Definition of angle bisectors
• Definition of a midpoint

Tags

CCSS.HSG.CO.C.9

What is the reason?

• Definition of a midpoint
• Definition of segment congruence
• Segment addition postulate
• Definition of segment bisectors

Tags

CCSS.HSG.CO.C.10

What is the reason?

• Reflexive property of equality
• Definition of a right angle
• All right angles are congruent
• Definition of perpendicular

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

What is the reason?

• Reflexive theorem of angle congruence
• Symmetric theorem of angle congruence
• Definition of angle congruence
• Transitive theorem of angle congruence

Tags

CCSS.HSG.SRT.B.5

Name the angle relationship.

• Complementary
• Supplementary
• Vertical
• Adjacent

Tags

CCSS.7.G.B.5

Name the most specific angle relationship.

• Complementary
• Supplementary
• Vertical
• Adjacent

Tags

CCSS.7.G.B.5

What is the REASON for Statement #1?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.7.G.B.5

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.8.G.A.5