Proving Triangle Congruent SSS SAS CPCTC

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

Tags

CCSS.HSG.SRT.B.5

Which congruence is needed to prove ΔXYZ ≅ ΔJKL by SAS?

• XY ≅ JK

• ZY ≅ LK

• ∠X ≅ ∠J

• ∠Y ≅ ∠L

Tags

CCSS.HSG.SRT.B.5

After proving the triangles congruent, what reason would you give to show KL ≅ PQ?

• Vertical Angles Theorem

• ASA

• CPCTC

• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

Which set of ordered pairs will create a triangle congruent to △𝑨𝑩𝑪?

• <(0,0),(0,5),(8,0)>

• <(1,2),(1,−5),(6,2)>

• <(−6,0),(−6,5),(−1,5)>

• <(−7,−4),(−7,6),(7,−4)>

Tags

CCSS.8.G.A.3

Complete the proof.

• Reflexive Property

• CPCTC

• Vertical Angles Theorem

• Midpoint Theorem

Tags

CCSS.HSG.SRT.B.5

Which congruence postulate/theorem can be used to prove the triangles are congruent given that M is the midpoint of KQ and KL || PQ?

• SSS

• SAS

• ASA

• AAA

Tags

CCSS.HSG.SRT.B.5

Given the triangles are congruent. Which statement correctly describes the congruences of the triangles?

• ΔKML ≅ ΔPQM

• ΔKML ≅ ΔQMP

• ΔKLM ≅ ΔQMP

• ΔKLM ≅ ΔPMQ

Tags

CCSS.HSG.CO.B.7

Which of the following is not a triangle congruence theorem?

• SAS

• ASA

• AAS

• SSA

Tags

CCSS.HSG.SRT.B.5

What is the value of x?

• 30

• 60

• 90

• Cannot be determined

Tags

CCSS.8.G.A.5

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• ASA

• AAS

Tags

CCSS.HSG.SRT.B.5