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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.

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Q: How do you make four triangles out of a quadrilateral by a line through it?
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How do you make a quadrilateral out of four equilateral triangles?

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


Why is it that all four sided figures be made from two triangles?

You can always find opposite corners that can be connected with a line which divides the quadrilateral into two trilaterals.


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A quadrilateral is any plane figure bounded by four straight lines. If a line is drawn from one corner to the opposite corner of a quadrilateral then it is divides the quadrilateral into two triangles. As the sum of the angles of a triangle is 180° then the sum of the internal angles of a quadrilateral total 360°. Special forms of a quadrilateral are :- Parallelogram, Rhombus. Rectangle, Square, Trapezoid / Trapezium and Kite.


How can you prove that the sum of the four interior angles in all quadrilaterals equal 360 degrees?

If you accept that the sum of the angles in a triangle is 180 degrees, then picture this. A quadrilateral shape is two triangles. If you draw a line between one pair of opposite corners in quadrilateral shape, you have two triangles that share a common side. The sum of the angles in the quadrilateral must equal the sum of the angles in the two triangles. 2 x 180 = 360


How do you draw a quadrilateral so when you draw a straight line you get 4 triangles?

A straight line can intersect the side of a convex quadrilateral in at most two points and so divided it into at most two segments. A concave quadrilateral (an arrowhed or chevron) can be divided into three if the line touches the reflex vertex and cuts off the two "barbs" of the arrowhead. But 4 triangles is not possible.


Do the diagonals of a quadrilateral kite separate the kite into four congruent triangles?

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How can you tell whether four line segments will form a quadrilateral?

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Bullets Triangles Horizontal Triangles Plus Sign Circle with line through it Bull's-Eye


Does a quadrilateral have a line of symmetry?

YES, a quadrilateral does have a line of symmetry.