Geometry Congruent Triangle Proofs

Look at this partial proof, Notice the given information. What would be the reason for statment #2?

• Definition of Midpoint

• Definition of congruence

• Transitive Property

• Substitution Property

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CCSS.HSG.SRT.B.5

• Reflexive Angles

• Transitive Property

• Definition of Angle Bisector

• Definition of Vertical Angles

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CCSS.HSG.SRT.B.5

Use the given info and your prior knowledge to check the 3 statements you would show congruent to prove the triangles congruent.

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CCSS.HSG.SRT.B.5

After listing the Given information, what would be the BEST statement and reason #2?

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CCSS.HSG.SRT.B.5

If DA is perpendicular to IE, then we can immediately conclude that

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CCSS.HSG.CO.C.9

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSA

• AAS

• SAS

• HL

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CCSS.HSG.SRT.B.5

What additional statements would need to be in the proof to show the triangles are congruent by HL Theorem? (Check all that apply)

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CCSS.HSG.SRT.B.5

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CCSS.HSG.SRT.B.5

The last statement in the proof is always______

• What you need to prove, it doesn't have to be written exactly how it is in the description though. If it is close that is good enough.

• Depends on the proof.

• What you need to prove in general terms.

• What you need to prove, written exactly how it is in the description.

Answer explanation

The only difference might be notation. "Angle ABC" can be written as <ABC or

∠ABC.. They all .mean the same thing.

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CCSS.HSA.REI.A.1

What additional information is required to prove the two triangles are congruent by SAS?

• A)
• B)
• C)
• D)

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CCSS.HSG.SRT.B.5