For a square with side S. There will be the 4 small triangles each with sides {S/sqrt(2),S/sqrt(2),S}. Then also you can 'see' 4 larger triangles, each with sides {S,S,S*sqrt(2)}
the squares diagonal are all congruent to each other, and the diagonals make 4 isoceles triangles.
Yes
They make four triangles, not a triangle.
When we draw the diagonals of a quadrilateral, they connect opposite corners and create triangles inside the shape. For example, if you have a square and draw a line from one corner to the opposite corner, it splits the square into two triangles. Each triangle has three sides and three angles, and they help us see how the quadrilateral can be divided into smaller shapes. This is a fun way to explore how different shapes can work together!
yes
No, never. A trapezoid may have diagonals of equal length (isosceles trapezoid), but they do not intersect at their midpoints.Draw the diagonals of a trapezoid, for example, an isosceles trapezoid, thereby creating 4 triangles inside the trapezoid. Now assume the diagonals do bisect each other. The congruent corresponding sides of the top and bottom triangles with the included vertical angle would make the triangles congruent by the side-angle-side theorem. But this is a contradiction since the respective bases of the triangles, forming the top and bottom of the trapezoid are, of course, not equal. Therefore, the triangles cannot be congruent. Hence, we have given proof by contradiction that diagonals in a trapezoid cannot bisect each other.
The opposite sides of a square are parallel and of equal length. Therefore the opposite triangles that the diagonals make are congruent and, as a result, they bisect on another. This is also the reason that they do so in all parallelograms.
When you draw the diagonals of a quadrilateral (a four-sided shape), they create triangles within the quadrilateral. These triangles are formed by connecting non-adjacent vertices of the quadrilateral. By understanding that the diagonals split the quadrilateral into smaller triangles, students can see how geometric shapes can be broken down and analyzed.
A diamond is not a rigid shape unless it has a brace. A brace is a diagonal line you put inside shapes to make them rigid. Triangles are rigid so if you put a brace in a square to make two triangles the square is now rigid.
can two triangles put together make a square
put the triangles upside own under neathe the square the make the trapezoid the head the last triangles the ears
A square already has 2 right angle triangles within it