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DeanR

5. Next time include the entire page in the photo.  I'm guessing it's U at the top right and O at the bottom right.

First box.  

SE ≅ SU

Given

Second box

angle 1 ≅ angle 2

Those are vertical angles, which are always congruent

Third box

angle E = angle U

Given

Next box, three arrows in.

triangle MES ≅  triangle OUS

Angle - Side - Angle

Last box:

MS ≅  SO

Corresponding parts of congruent triangles.

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6.

First box:

angle E ≅ angle U

Given

Second box:

NS ≅ NS

reflexivity (aka it's the same segment)

Third box:

angle 1 = angle 2

Definition of angle bisector

Next box:

triangle WNS ≅  triangle ENS

Angle - Side - Angle

Next:

WN ≅  EN

Corresponding parts of congruent triangles.

Answer:

5. Next time include the entire page in the photo.  I'm guessing it's U at the top right and O at the bottom right.First box.  SE ≅ SUGivenSecond boxangle 1 ≅ angle 2Those are vertical angles, which are always congruentThird boxangle E = angle UGivenNext box, three arrows in.triangle MES ≅  triangle OUSAngle - Side - AngleLast box:MS ≅  SOCorresponding parts of congruent triangles.-----------6.First box:angle E ≅ angle UGivenSecond box:NS ≅ NSreflexivity (aka it's the same segment)Third box:angle 1 = angle 2 Definition of angle bisectorNext box:triangle WNS ≅  triangle ENSAngle - Side - AngleNext: WN ≅  ENCorresponding parts of congruent triangles

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