Geometry Proofs Congruence

• ML≌MN and ∠LMP≌∠NMP
• ML≌MP and ∠LMP≌∠NMP
• ML≌MN and ∠LMP≌∠MNP
• MP≌MN and ∠PML≌∠PNM

• MP≌PM by the Reflexive Property
• LP≌NP by the Reflexive Property
• MP≌PM by the Symmetric Property
• LP≌NP by the Symmetric Property

• FG≌JK
• ∠FGH≌∠JKH
• ∠GFH≌∠KJH
• ∠GHF≌∠KHJ

• Alternate Interior Angles
• Third Angle Theorem
• Vertical Angles
• They both have an "H"

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.

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

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

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

• Vertical Angles
• Symmetric Property
• Reflexive Property
• Transitive Property

• AB≌BD
• AB≌CD
• BD≌CD
• ∠A≌∠C

• Reflexive Property
• Symmetric Property
• Transitive Property
• You probably should learn this property!