The quadrilateral formed by the taping together of two equilateral
triangles is a rhombus.
The given types of triangles that form the quadrilateral are equilateral
triangles.
Given that the triangles have congruent side lengths, we have;
1) The side lengths of the quadrilateral formed are equal.
2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.
3) The other pair of opposite angles are also equal to 60° + 60° = 120°.
The altitude of an equilateral triangle is perpendicular to the base.
Which gives;
4) The diagonals bisect each other at right angles.
Therefore;
The adjacent angles are supplementary
Which gives;
5) The opposite sides are parallel.
The above properties are the properties of a rhombus
Therefore;
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