Congruent Triangles and HL

Find the value of y for the given picture.

• 4

• 5.75

• 3.86

• 2.86

What reason would you put for (which justifies why AC = AC is true)?

• Vertical angles are congruent

• Reflexive Property

• Given

• Prove

What additional statements would need to be in the proof to show the triangles are congruent by HL Theorem? (Check all that apply)

What would be the correct "given" statements for this diagram?

• T is the midpoint of segment BG and
  ∡B≅∡G

• ∡B≅∡G and ∡A≅∡W

• T is the midpoint of segment BG and ∡A≅∡W

• T is the midpoint of segment AW and ∡A≅∡W

Fill in the missing proofs.

• Transitive Property, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Reflexive Property, Vertical Angles Thm.

• Transitive Property, SSS(Side-Side-Side)

Which triangle congruence theorem can be used to prove the triangles are congruent?

• HL

• SSA

• SAS

• AAS

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• SSS

• SAS

• HL

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS

• HL

• SSA

• AAA

Which of the following proves congruence ONLY for right triangles?

• AAS

• HL

• SAS

• SSS

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• SAS

• SSS

• Not enough information