Angle and Line Postulates and Properties

In a geometric system, which would best describe how postulates differ from theorems?

• Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

• Postulates are statements that require proof, while theorems cannot be proven.

• Both postulates and theorems do not require proof and are assumed to be true.

• There is no difference between postulates and theorems.

Given that AM=MB, what definition allows us to say that the respective segments are congruent?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

Tags

CCSS.HSG.CO.A.1

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

• Definition of Midpoint

• Definition of Angle Bisector

• Definition of Congruent

• Definition of Segment Bisector

Tags

CCSS.HSG.CO.C.9

Identify the property you would use to solve this equation:

y – 7 = 28

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Tags

CCSS.HSA.REI.B.3

Name the property of equality that the statement illustrates.

If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

• Reflexive Property of Congruence

• Transitive Property of Congruence

• Definition of Congruence

• Symmetric Property of Congruence

Name the property of equality that the statement illustrates.

If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°

• Substitution Property of Equality

• Transitive Property of Equality

• Definition of Complementary Angles

• Transitive Property of Congruence

Name the property of equality that the statement illustrates.

If ∠H≅∠H, then m∠H=m∠H.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Transitive Property

• Definition of Congruent Angles

Name the property of equality that the statement illustrates.

∠G ≅ ∠G

• Symmetric Property of Congruence

• Definition of Congruence

• Transitive Property

• Reflexive Property

Name the property of equality that the statement illustrates.

If ∠S and ∠P are supplementary, then m∠S + m∠P = 180°

• Definition of Supplementary Angles

• Definition of Complementary Angles

• Definition of Linear Pair

• Definition of Vertical Angles

Tags

CCSS.HSG.CO.C.9

Complete the statement with the transitive property: If a=b and b=c then...

• a=c

• b=a

• c=b

• a=d

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.5