【MY METHODS 110s】#Shorts Prove MP=NP. #geometry #algebra #math

Areas of triangles:
Four points are concyclic:
Menelaus's theorem:
Rt. triangle:
Angle bisector theorems:
Euclid's theorem:

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#Shorts
What is the shape of Triangle AMN?
Prove MQ = NR.
Prove AB = AC
Prove AE = (AB+AD)/2
Prove EF∥AB
Calculate the perimeter of the figure.
AB:AE=?
Angle CBD=?
Prove angle BNF = angle CMF
Prove BC = AE+CE
BG : DF = ?
AF : DF = ?
Prove BDH is an equilateral triangle.
Prove Angle CAD = 2 Angle ABH
Find BM:MN:ND = ?
Prove BF =DF, BF is perpendicular to DF.
Prove AE = CF
Prove AMN is an equilateral triangle.
Prove DE = BD + EC.
Prove AB+AN = AM+BM.
Prove PQ = PM+PN.
What is the perimeter of AEF?
What is the angle ACD?
Find the area of HIKLPQ.
Prove CQ=BC.
Prove two equations.
Find the area of triangle ABD.
Find the angle ACD.
Find the area of triangle XYZ.
Four questions.
Two questions.
Find AE=?
Find the sum of some angles.
Find the sum of 12 angles.
Prove ME=MF.
Prove BDxBD - ADxAD = ABxAC.
Prove DF=FH.
Prove AB=AC.
Prove Angle KLD=90 degrees.
Divide each triangle into four.
Prove DM=DL.
Prove B, O, C, D are concyclic.
AM+MN+AN+?
Prove ME is parallel to NF.
Find the sum of 3 squared segments.
Prove HM=HN.
Prove FH+DH=BC/2.
Prove DM=DL.
Prove G is the centroid of triangle DEF.
Using Menelaus's theorem.
CG=?
Prove two angles are equal to each other.
Prove an equation.
Prove BC/TC=EA/EB
Prove P, Q, and R are collinear.
Prove D, E, and F are collinear. + Angle bisector theorems
Prove GM=GN.
Prove BD is perpendicular to BE.
Prove B, O, C, and D are concyclic.
Prove DM=DL Happy Thanksgiving!
Find AB=?
About equilateral triangles. Part 1.
About equilateral triangles. Part 2.
∠ACD=?
Find the radius.
Prove AZ·BX·CY = ZB·XC·YA.
Prove AF is perpendicular to BC.
Prove AD=AE.
Prove QS is less than RN.
Prove ∠CAE＝∠EAF＝∠FAB.
Prove PD is the bisector of ∠BPC.
Prove MNKL is a parallelogram.
∠BAP=?
Prove BD=2 CE.
Find the area of a triangle.
Prove AP=BC.
Prove MN∥BC.
CG=?
Prove MG=NG.
Prove P, Q, and R are collinear.
Prove BC/TC=EA/EB.
Prove H=G.
Prove ∠MPQ＝∠NPQ.
Prove PQ and TS are not parallel to BA.
Prove MP is tangent to Circles A and B.
Prove ∠BAC＝90°.
Prove O, A, E and G are concyclic.
Prove 1/CD - 1/BD = 1/DE.
Find BD/CF and the radius.
Prove BE ∥ FM.
Prove AM/MN=AB/BN.
Prove ∠CPD＝∠BQA.
Prove PE AC=CE KB.
Prove PN/PM=QN/QM.
Prove AP=AQ.
Prove ∠BAQ＝∠PAC.
Prove ∠BAQ＝∠PAC. (2)
Prove EP/DE＝PD/DC.
Prove FG＝BC/2.
Prove Euler's theorem in geometry. Part I
Prove Euler's theorem in geometry. Part II
Prove an equation.
Find the area of ABQP.
Prove QD/ED=AC/CE.
Find CF=? BF=?
Prove Area of AKNM=Area of ABC.
Find AM/AX.
Prove ∆CDI∽∆DSI.
Prove A, H, E, and J are concyclic.
Find ∠C = ?
Prove MP=NP.