Joined May 2009
Antonio Gutierrez retweeted
Explore Problem 1627: three tangent circles with collinear centers and curvilinear incircles. Can you prove the geometric progression & harmonic relations? 📐✨ Details: gogeometry.com/school-colleg… #Geometry #GeoGebra #Gogeometry #Math
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Antonio Gutierrez retweeted
Replying to @gogeometry
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Antonio Gutierrez retweeted
The 1625 Twist 📐 An interior point holds a hidden code. Can you bridge the gap to find the missing altitude? ✨ gogeometry.com/school-colleg… #Geometry #Math #MathTwitter #ProblemSolving #MathCompetition #Geogebra
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Antonio Gutierrez retweeted
Replying to @gogeometry
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Antonio Gutierrez retweeted
Replying to @gogeometry
This is quite direct with the cosinus rule and the fact that facing angles are supplementary.
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Antonio Gutierrez retweeted
Can 40° & 70° angles reveal a hidden √3 identity? 📐✨ In △ABC, altitude AH connects to sides in a striking relation: AC + AH = BH·√3 Can you construct the 30°-60°-90° auxiliary proof? Full problem, diagram & hints 👇 gogeometry.com/school-colleg… #Geometry #Math #Geogebra
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Antonio Gutierrez retweeted
Replying to @gogeometry
1) mirror triangle ABH along AB to get triangle ABK. AK=AH=x (BK)n(HA)=C’ 2) angle C’AK=60, KC’A=30 => AC’=2AK=2x=AC 3) C’H=AC+AH=sqrt(3)BH ( from triangle BHC’.
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Antonio Gutierrez retweeted
Replying to @gogeometry
S=pr. p=(2c+2r)/2=c+r. S=r(r+c).
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Antonio Gutierrez retweeted
Geometry Problem 1620 📐 Perpendicular chords split a circle into 4 curvilinear regions to reveal a hidden area difference invariant! See why curves disappear, governed only by a central rectangle. Details & proof: gogeometry.com/school-colleg… #Geometry #Math #MathEd #STEM
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Antonio Gutierrez retweeted
Replying to @gogeometry
Proof
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Antonio Gutierrez retweeted
Replying to @gogeometry
I demonstrate for one side. The other is equivalent.
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Antonio Gutierrez retweeted
THE CHALLENGE 1617: FIND FJ 🎯 A concyclic hexagon emerges from intersecting circles. Will you reach the value via Similarity, Radical Axes, or Harmonic Ratios ...? Explore details:👉 gogeometry.com/problem1617.h… #Geometry #MathChat #GoGeometry #STEM #ProblemSolving
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Antonio Gutierrez retweeted
Can you find the missing segment? 🔍📐 Problem 1616: Pure synthetic geometry. No coordinates—just logic, circle, and triangles. One auxiliary line reveals the harmony. Can you see it? Full problem here: gogeometry.com/school-colleg… #Geometry #Math #GoGeometry #STEM #ProblemSolving
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Antonio Gutierrez retweeted
Replying to @gogeometry
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Antonio Gutierrez retweeted
Geometric Challenge: Problem 1614 📐✨ Prove this area equivalence in a semicircle using pure synthetic geometry! Can you find the "Aha!" moment without coordinates? 🧠 Details and hints here: 🔗 gogeometry.com/school-colleg… #Geometry #Math #GoGeometry #STEM #Education
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Antonio Gutierrez retweeted
Replying to @gogeometry
Sorry there was an error in previous post.
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Antonio Gutierrez retweeted
New Geometry Challenge! 📐✨ Square ABCD. Ratio 2:1. Angle 53/2°. Your mission: Prove angle BCE = 45° using pure synthetic logic! 🧠🔥 Full statement & hints here: 🔗 gogeometry.com/school-colleg… #GoGeometry #Math #Geometry #ProblemSolving #STEM
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Antonio Gutierrez retweeted
Replying to @gogeometry
All I have for now is an algebraic proof.
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Antonio Gutierrez retweeted
Replying to @gogeometry
Proof...
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Replying to @gogeometry
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