Identifying Postulates and Properties

For all real numbers 𝑝, 𝑞 and 𝑟, if 𝑝 = 𝑞 and 𝑞 = 𝑟, then 𝑝 = 𝑟.

• Transitive Property of Equality

• Segment Addition Postulate

• Addition Property of Equality

• Reflexive Property of Equality

• Angle Addition Postulate

If points 𝑃, 𝑄 ad 𝑅 are collinear (𝑃 − 𝑄 − 𝑅) and 𝑄 is between points 𝑃 and 𝑅, then |𝑃𝑄| + |𝑄𝑅| = |𝑃𝑅|

• Segment Addition Postulate

• Angle Addition Postulate

• Addition Property of Equality

• Transitive Property of Equality

• Reflexive Property of Equality

For all real numbers 𝑝 and 𝑞, if 𝑝 = 𝑞, then 𝑞 can be used to substitute 𝑝 in any expression.

• Reflexive Property of Equality

• Addition Property of Equality

• Segment Addition Postulate

• Angle Addition Postulate

• Substitution Property of Equality

If point 𝑆 lies in the interior of ∠𝑃𝑄𝑅, then 𝑚∠𝑃𝑄𝑆 + 𝑚∠𝑆𝑄𝑅 = 𝑚∠𝑃𝑄𝑅

• Segment Addition Postulate

• Reflexive Property of Equality

• Angle Addition Postulate

• Addition Property of Equality

• Transitive Property of Equality

For all real numbers p, q and r if 𝑝 = 𝑞, then 𝑝 + 𝑟 = 𝑞 + 𝑟.

• Reflexive Property of Equality

• Addition Property of Equality

• Segment Addition Postulate

• Angle Addition Postulate

• Substitution Property of Equality