Triangle Congruence Proofs

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

• TL≅JT

• JL≅TJ

• TL≅LJ

• T is also the midpoint of JL

If DA bisects IE, then

• ID≅ED

• IA≅EA

• <IDA≅<EDA

• <IAD and <EAD are right angles

If AD bisects <EDI, then

• <ADE≅<IDA

• IA≅AE

• ID≅ED

• All of the above

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

• IA≅AE by Definition of a Bisector

• <IAD ≅ <DAE by Definition of Right Angles

• <IDA≅<EDA by Definition of Perpendicular

• <IAD and <DAE are right angles by Definition of Perpendicular

An angle bisector cuts an angle into two congruent _________

• Angles

• Segments

• Mysteries

A segment bisector cuts a segment into two congruent

• Segments

• Angles

• Mysteries

In this picture, we know for sure that

• <TEB≅<ETS by AIA Theorem

• <BTE≅<SET by AIA Theorem

• BE≅ST by Given

• Both 1 and 2 are correct

If we know that <IAD and <DAE are both right angles, then we know for sure that

• <ADI≅<ADE by Definition of an Angle Bisector

• IA≅EA by Definition of Perpendicular

• <IAD≅<DAE by Right Angles Congruence Theorem (RATC)

• All of the above

Which of the following is a correct statement and reason for the proof shown? Select ALL that are correct.

• $\overline{FG}\cong\overline{FG}$ ; Definition of a Midpoint

• $\overline{FG}\cong\overline{FG}$ ; Reflexive Property

• $\overline{DG}\cong\overline{GE}$ ; Definition of a Midpoint

• $\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

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

• $\angle GEQ\cong\angle NEW$ ; Vertical Angles Theorem

• $\overline{WN}\cong\overline{GQ}$ ; SAS

• $\angle G\cong\angle N$ ; Alternate Interior Angles Theorem

• $\angle W\cong\angle Q$ ; Alternate Interior Angles Theorem