One side of a regular pentagon is folded back and forth as shown. Are the six red line segments congruent?
Tag: folding
Folding magic
One corner of a rectangular piece of paper is folded as shown. Prove that the red line segments are concurrent.
Folded napkin II
A unit square paper is folded as shown. What is the red area?
The secret document
One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?
The sneak peek
A rectangle with given side lengths is folded back and forth such that the corner touches the opposite side as shown. What is the minimal shaded fraction?
Take five origami
Divide a rectangular piece of paper in five pieces of equal area. You only have a pair of scissors at your disposal, but you are allowed to make straight folds to guide you.
The kingsize bed
A rectangle with an inscribed right triangle. What is ac/bd?
The folded napkin
A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?
The bobline
A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?
The folded triangle
An equilateral triangle is folded with its left side at right angles with the base. What fraction of the total triangle is shaded?