CH2 Definitions Postulates Theorems

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Tags

CCSS.HSG.CO.C.10

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Tags

CCSS.HSG.CO.C.10

Which of the following is an example of the transitive property?

• If x = 5 and and x = y, then y = 5.

• If x = y then y = x

• x = x

• If 2x + 4 = 2, then x = -1

Tags

CCSS.HSG.SRT.B.5

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Addition POE
• Subtraction POE
• Def of right angle
• Def of Complementary Angles

Tags

CCSS.7.G.B.5

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE
• Addition POE
• Def. of congruent angles
• Def. of right angles

Tags

CCSS.HSG.CO.B.7

If X is between R & T on a line,
then RX + XT = RT

• Addition POE
• Substitution POE
• Angle Addition Post.
• Segment Addition Post.

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

• undefined andundefined are right angles.

Tags

CCSS.7.G.B.5