Properties of Equality and Congruence Geometry

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         

• Symmetric Property

• Reflexive Property

• Substitution Property

Name the property described:
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

• Reflexive

• Symmetric

• Transitive

• Addition

Tags

CCSS.8.G.A.2

Name the property described:
If MN = OP and OP = QR, then MN = QR

• Reflexive

• Symmetric

• Transitive

• Addition

Tags

CCSS.HSG.SRT.B.5

Name the property.
<A≅<A

• Transitive Property of Congruence

• Symmetric Property of Equality

• Reflexive Property of Congruence

• Symmetric Property of Congruence

Tags

CCSS.HSG.SRT.B.5

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

Tags

CCSS.HSG.CO.B.7

Which relationships could be the two missing statements? Select the two that apply.

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

Tags

CCSS.HSG.SRT.A.2

If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

• AC≅PR

• BC≅QR

• <A≅<P

• <C≅<R

Tags

CCSS.HSG.SRT.B.5

Name the property described:
If PQ = RS then RS = PQ

• Reflexive

• Symmetric

• Transitive

• Addition

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

• SUBSTITUTION PROPERTY

• REFLEXIVE PROPERTY

• TRANSITIVE PROPERTY

• SYMMETRIC PROPERTY