Geometry Similar and Congruent Triangles Review

What is the "statement" for step 3 of the proof?

• AH=AN

• AD=AD

• HD=ND

• HD=DN

• Choice (1)
• Choice (2)
• Choice (3)
• Choice (4)

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

∆DEF and ∆TUV are congruent triangles. Which statement is known to be true?

• DE≅TU

• DF≅TU

• DF≅UV

• DE≅TV

Fill in the missing proofs.

• Vertical Angles are Congruent, SAS(Side-Angle-Side)

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

• Reflexive Property, Vertical Angles are Congruent

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

What method could be used to prove the triangles congruent?

• ASA

• AAS

• SAS

• HL

∆ABC is a right triangle. Find the length of x, the altitude of ∆ABC.

• 54 units

• 6√3 units

• 3√6 units

• There is not enough information to determine the length of x.

Which statement would justify ∆ABC~∆DEF?

• Angle-Angle (AA) Similarity

• Side-Angle-Side (SAS) Similarity

• Side-Side-Side (SSS) Similarity

• It is not possible to determine if ∆ABC~∆DEF.

Which statement would justify ∆ABC~∆DEF?

• Angle-Angle (AA) Similarity

• Side-Angle-Side (SAS) Similarity

• Side-Side-Side (SSS) Similarity

• It is not possible to determine if ∆ABC~∆DEF.

Which statement would justify ∆ABC~∆DEF? 

• Angle-Angle (AA) Similarity

• Side-Angle-Side (SAS) Similarity

• Side-Side-Side (SSS) Similarity

• It is not possible to determine if ∆ABC~∆DEF.