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A Rhombus.

If it makes two equilateral triangles with a diagonal, the shape must have all four sides of equal length; thus it is a rhombus, possibly a square.

As an equilateral triangle is made, the angle between two of the sides is 60o; which is not 90o, so it can't be a square, so it must be a rhombus.

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Q: What quadrilateral can have a diagonal line and is made with 2 equilateral triangles?

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Put the triangles in a line alternately pointing up and down.

You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.

Not necessarily. A rhombus is an equilateral quadrilateral but does not have a line of symmetry. An irregular octagon does not, either.

A kite or an equilateral trapezium.

Some triangles do have a line of symmetry. Equilateral and Isosceles triangles have a line of symmetry. If you can fold a triangle into two equal halves, the folding line is a line symmetry.

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Put the triangles in a line alternately pointing up and down.

Equilateral triangles.

You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.

right triangles and

Not necessarily. A rhombus is an equilateral quadrilateral but does not have a line of symmetry. An irregular octagon does not, either.

A kite or an equilateral trapezium.

A quadrilateral is an object formed by four straight lines - two of which meet at an angle. A diagonal is one of the lines which go from one angle to the one other angle in the quadrilateral which it is not already connected to. If the angles of the quadrilateral are A, B, C and D, and A is connected by a straight line to B and D then the diagonal is a line between A and C. A--B | \ | D--C

The term for the line that divides them is a diagonal.

Some triangles do have a line of symmetry. Equilateral and Isosceles triangles have a line of symmetry. If you can fold a triangle into two equal halves, the folding line is a line symmetry.

It would depend on the triangles, but assuming they were equilateral or isosceles, a trapezoid if alternated in a line.

A diagonal line of a polygon is a line that joins any two vertices not already joined by a side.A polygon with n sides has n(n-3)/2 diagonals→ a quadrilateral with 4 sides has 4(4-3)/2 = 4 × 1 ÷ 2 = 2 diagonalQuadrilaterals include:Squares, rectangles, rhombuses, parallelograms, kites, trapezia (trapezoids).The diagonals of a quadrilateral divide the quadrilateral into 4 triangles. depending upon the quadrilateral some, or all of the triangles may be congruent.The properties of the diagonals of each quadrilateral are:square: equal and bisect each other at 90°; the triangles formed are all congruentrectangle: equal and bisect each other but not at 90°; the triangles formed are all congruentrhombus: not equal but bisect each other at 90°; the triangles formed are all congruentparallelogram: not equal but do bisect each other, but not at 90°; the triangles formed are congruent in (opposite) pairskite: perpendicular and the longer diagonal bisects the shorter diagonal; the triangles formed are congruent in (adjacent) pairstrapezium (trapezoid): only of equal length and bisect each other if it is an isosceles trapezium (trapezoid) and the triangles formed are congruent in (opposite) pairs; otherwise they are of differing lengths and just intersect each others and the triangles formed are non-congruent.

Trapezoid

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