Angle and Line Postulates and Properties

Front

In a geometric system, how do postulates differ from theorems?

Back

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

Front

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

Back

Definition of Congruent

Front

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

Back

Definition of Angle Bisector

Front

Identify the property you would use to solve this equation: y – 7 = 28

Back

Addition Property of Equality

Front

Name the property of equality that the statement illustrates. If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

Back

Transitive Property of Congruence

Front

Name the property of equality that the statement illustrates: If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°

Back

Substitution Property of Equality

Front

Name the property of equality that the statement illustrates: If ∠H≅∠H, then m∠H=m∠H.

Back

Definition of Congruent Angles

Front

Name the property of equality that the statement illustrates: ∠G ≅ ∠G

Back

Reflexive Property

Front

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

Back

Definition of Supplementary Angles

Front

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

Back

a=c