A rectangle inside a square. What fraction is yellow in terms of x?
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Brick oven II
Category: Beginner
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Angle chase
Two triangles are placed as shown. What is the angle α?
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A mild temperature
Two squares and a diagonal. What’s the angle α?
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Equal partition
A rectangle and a square with an extended side. Prove that their areas are equal.
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Roll the dice
Two squares inscribed in a rectangle. What fraction is purple?
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Tumbling down
Three squares and a red quadrilateral. What is the red area?
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Baby brother II
Three squares and three angles. What is the angle α?
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Squares connected
Two squares, one of which has an extended side. Prove that the three red vertices are collinear.
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Parallel roads
The cyclic quadrilateral FCDI, with points K such that DK perp to FI and J such than IJ perp to CD. Show that JK is parallel to FC.
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No vehicles
Two concentric circles and three tangent line segments. If the perimeter of triangle ABC is p, what is the red area?