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Name the type of special quadrilateral that will appear when you join two congruent equilateral triangles?
There are two types of quadrilaterals that are formed when two congruent equilateral triangles are joined. These shapes are rhombus and parallelogram.
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
Two equilateral triangles with the same side lengths are joined together along a side to form a quadrilateral. What type of quadrilateral is this?
rhombus
Can any two triangle be joined together to make a rhombus and what are the triangles that can make the rhombus?
no two triangles can make a square
How do you use geomitry words to describe how to join triangles to make quadrilaterals?
Any 2 congruent triangles joined together will form a 4 sided quadrilateral
