Geometry Congruent Triangles

Use the congruency statement to answer the following:

• not congruent to another angle

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• SAS

• SSS

• Both SSS and SAS

• Not necessarily congruent

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)

What is the "statement" for step 2 of the proof?

• AD=AD

• AD=DA

• HD=DN

• HA = AN

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

• AD=DA

• AN = AH

• HD=ND

• HD=DN

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Identify the missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

Identify the missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

ΔABC and ΔXYZ are congruent triangles. Which statement is known to be true?

• ∠A≅∠B

• ∠X≅∠Y

• ∠B≅∠Y

• ∠A≅∠Y

∆ABD~∆ECD. What is the length of CD?

• 90 units

• 7.5 units

• 22.5 units

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