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Trapezoid
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Is a diagonal of a square perpendicular to its side always?
The diagonal of a square is not perpendicular to its side. The diagonal of a square will separate the square into two triangles. The diagonal goes from one corner to the opposite corner. Because it is a square, the diagonal and a side of the square will always form a 45-degree angle.
Does drawing one diagonal in a trapezoid create two congruent triangles?
Yes It always does because of how a trapezoid is shaped.
Is the diagonal of a square the same as its side?
Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.
Are two obtuse triangles always similar?
Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.
What type of triangle is always similar to all other triangles of the same type?
90 degree triangles are always similar.
What quadrilateral has to equilateral triangles when you draw a diagonal?
none the diagonal will always be bigger than a side
Does a diagonal of a square always create 2 congruent triangles?
Yes
Why drawing a diagonal on any parallelogram will always result in two congruent triangles?
Drawing a diagonal in a parallelogram divides it into two triangles that share the same base (the diagonal) and have equal heights, as the opposite sides of a parallelogram are equal in length and parallel. Additionally, each triangle has two sides that are equal to the lengths of the corresponding sides of the parallelogram. By the Side-Side-Side (SSS) congruence criterion, the two triangles formed by the diagonal are congruent. Thus, any diagonal in a parallelogram always results in two congruent triangles.
Can a quadrilaterals always be divided into two triangles?
Yes, it can always be divided in 2 triangles. This is because every quadrilateral has 2 diagonals. It is these diagonals that divide the quadrilateral into 2 triangles.
Is a diagonal of a square perpendicular to its side always?
The diagonal of a square is not perpendicular to its side. The diagonal of a square will separate the square into two triangles. The diagonal goes from one corner to the opposite corner. Because it is a square, the diagonal and a side of the square will always form a 45-degree angle.
Can all 4 sided figures be made from 2 triangles why?
Yes. You can always draw a "diagonal" line between opposite corners of any four-sided figure. Then, cutting along that line, you wind up with two triangles out of which the figure could have been made.
Can a rhombus always be divided into to triangles?
Yes, by connecting the opposite vertices we can make triangles.
Does drawing one diagonal in a trapezoid create two congruent triangles?
Yes It always does because of how a trapezoid is shaped.
The sum of the interior angle measures of an octagon?
To find interior angle measurements, you must divide the shape into triangles by drawing diagonal lines. The diagonal lines draw triangles, and the interior angle measure of triangles are always 180 degrees. The sum of interior angles of an octagon is 1080 degrees. How ever many triangles you have, multiply it by 180. See octagons in the link for more help,
Can a rhombus always be divided into to isosceles triangles?
Nope sorry, a Rhombus will be split into 2 isosceles triangles and 1 equilateral triangle.
Can all qaudrilateral be divided by triangle?
No matter the form a four sided shape can always be divided into two triangles with a single line.
Why the sum of the interior angles of any quadrilateral is always 360?
The sum of the interior angles of any quadrilateral is always 360 degrees because a quadrilateral can be divided into two triangles by drawing a diagonal. Each triangle has interior angles that sum to 180 degrees, so when you add the angles of the two triangles together (180 + 180), you get a total of 360 degrees. This property holds true for all quadrilaterals, regardless of their shape.
