Transformer

Geometry Level 1

I am a peculiar quadrilateral. If you put 3 copies of me together, then I can form an equilateral triangle. Similarly, if you put 3 copies of an equilateral triangle together, then they can form me!

What quadrilateral am I?

Trapezoid Parallelogram Kite Rhombus Square Rectangle

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Worranat Pakornrat by Worranat Pakornrat , 36, Thailand

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3 solutions

Eli Ross Staff
Oct 23, 2015

I am a trapezoid!

18 Helpful 0 Interesting 2 Brilliant 0 Confused

Exactly! How elegant! :)

Worranat Pakornrat - 5 years, 7 months ago

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specifically an isosceles trapezoid with the smaller base congruent to the legs

Robert Lucas - 5 years, 7 months ago

Great.... It's Tricky

Nico Anthony Tejano - 5 years, 4 months ago

kite also /\ /_ Y_\

Ștefan Țiudic - 5 years, 1 month ago

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A kite can't be formed by joining 3 equilateral triangles together though.

Worranat Pakornrat - 5 years, 1 month ago
Owen Leong
Oct 26, 2015

There is only one way to put 3 equilateral triangles together!

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Exactly, that's how I solved it!

Giancarlo Vera - 5 years, 7 months ago

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Me too, in fact I couldn't picture in my head how to make an equilateral triangle from three trapezoids, but still went with it because I was certain you could only make a trapezoid from three equilateral triangles.

John Lawrie - 5 years, 1 month ago
Finn C
Apr 10, 2016

I just kept trying till I found the right one :). Given trapezoid was the bottom option for modernegg, it took a while.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Great thinking

nagarjuna reddy - 4 years, 10 months ago

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