Geometry Section 4-2 to 4-4

Is there enough information tomprove the two triangle congruent? If yes, write the congruence statement and name the postulate you would use. If no, write not possible and tell what other information you would need.

Yes, because if's SAS

Name the theorem or postulate that lets you immediately conclude ABD=CBD

a. AAS

From the information in the diagram, can you prove FDG=FDB? Explain

a. yes, by ASA

What other information do you need in order to prove the triangles are congruent using the SAS Congruence Postulate?

c. AB=AD

Justify the last two steps of the proof

d. Symmetric Property of Congruency;SSS

Write the missing reasons to complete the proof

5. Addition property of equality 8. SSS, CPCTC

Is there enough information to prove the two traingles congruent by AAS? If yes, write the congruence statement and explain, If no write not possible and tell what other information you would need .

Not possible, if angle a was congruent to angle C then it would be possible

Explain how you can use SSS, SAS, ASA, or AAS with CPCTC to prove that D=B

SAS, if both triangles are congruent then corresponding angles are also congruent

Explain how you can use SSS,SAS,ASA,or SASAAS with CPCTC to complete a proof

SAS, if both triangles are congruent then, corrseponding angles and sides are also congruent

Name the angle included by sides PN and NM

a. N

State wheter ABC and AED are congruent. Justify your answer

a. yes, by either SSS or SAS