Triangle Congruence Proofs

Which of the following is a correct statement and reason for the proof shown?

• $\overline{JK}\cong\overline{JK}$ ; Reflexive

• $\angle M\cong\angle L$ ; Reflexive

• $\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

• $\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

If L is the midpoint of TJ, what must be true?

• TL=JT
• JL=TJ
• TL=LJ
• T is also the midpoint of JL

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.6

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Tags

CCSS.HSG.SRT.B.5

Identify the  missing statement or reason

• Given
• Vertical Angles Theorem
• Definition of Angle Bisector
• Alternate Interior Angles Theorem

Tags

CCSS.HSG.SRT.B.5

State if the two triangles are congruent.  If they are, state how you know.

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.B.5

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

When using hypotenuse leg (HL) in a proof, you must first state ...

• CPCTC.
• there are right triangles.
• that vertical angles are congruent.
• the reflexive property.

Tags

CCSS.HSG.CO.C.10

What does SAS stand for?

• Side-Angle-Side
• Super-Awesome-Side
• Side-Angle-Supersized
• Sensationally Awesome Superman

Tags

CCSS.HSG.CO.B.8

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL
• SSS, SSA, HL, AAS, SAS
• SAS, SSA, HL, AAS, SSS
• HL, SAS, SSA, SSS, ASA

Tags

CCSS.HSG.SRT.B.5

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

• Yes by ASA
• Yes by AAS
• Yes by SSA
• Not congruent

Tags

CCSS.HSG.SRT.B.5