Triangle Congruence Proofs

You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?

• The two angles are corresponding parts of the two triangles in question.

• Alternate internal angles of a transversal are congruent.

• The reflexive property of congruence.

• The transversal cuts through two parallel lines.

• These angles are Vertical angles and therefore are congruent

Tags

CCSS.HSG.SRT.B.5

What is the reason for statement #3?

• SAS

• Prove

• SSA

• SSS

Tags

CCSS.HSG.SRT.B.5

What is the reason for statement #2?

• Definition of Segment Bisector

• Transitive Property

• Reflexive Property

• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent
• Congruent Parts of Congruent Triangles are Corresponding
• Colorful Pieces of Corresponding Triangles are Congruent
• Congruent Pieces of Congruent Triangles are Congruent

Tags

CCSS.HSG.CO.B.7

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

If AD bisects <EDI, then

• <ADE=<IDA
• IA=AE
• ID=ED
• All of the above

Tags

CCSS.HSG.CO.C.9

In this picture,

• <BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other
• <C=<C because they are vertical angles and vertical angles are always congruent to each other
• <EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other
• None of the above; we don't actually have vertical angles

Tags

CCSS.7.G.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

Tags

CCSS.8.G.A.5

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.SRT.B.5