Triangle congruence proof

[novel frigate]

<@&776327020388679680> <@&962633355730513930> <@&727457814523674674> <@&780044119199973376>

[heady forum]

Hint: Try to prove that BCD = BCE

From there show EBM = DCM

Then that AMB = AMC

Then angle EMA = AMD

Then the rest

[novel frigate]

@heady forum can you do it really shortly

[heady forum]

Oh I read it wrong

You might have to do it a different way

[novel frigate]

How?

[grave vessel]

If AB = AC, that means the triangle is isosceles, right?

[novel frigate]

Yes

[grave vessel]

Which means angle B equals angle C, right?

[novel frigate]

Yeah ik that

[grave vessel]

Which means all of the numbered angles are equal, right?

Which means angle 1 equals angle 3, making triangle BCM isosceles with legs BM and CM.

[novel frigate]

Yeah does it mean that BEM and DCM are isosceles too?

[grave vessel]

No.

Why would it mean that?

[novel frigate]

Oh nvm, EMB and DMC are equal as opposite angles and MDC and MEB are 90⁰ angles

So not isosceles

@grave vessel

[grave vessel]

Why do you think those angles are right?

[novel frigate]

Cus AM bisects angle A ig