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How do you prove that the diagonals of a square are equal and bisect each other at right angles?
Wiki User
∙ 12y ago
it would produce two right angle triangle
Improved Answer:-
Measure them and use a protractor which will result in equal measures of 4 by 90 degrees angles
Wiki User
∙ 12y ago
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Which one of the following are not the properties of square a diagonals bisect each other perpendicularly b all the angles are equal and acute c the diagonals are equal and bisects each other?
It is 'b' because the 4 interior angles of a square are all equal right angles
Do the diagonals of parallelogram bisect each other?
Yes. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
All sides are equal and the diagonals are also equal and bisect at right angle what image?
A square.
Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
What statement is true about a rhombus?
A rhombus is a 4 sided shape, all sides of equal length, opposite sides parallel and opposite angles are equal, also the diagonals bisect each other at right angles.
Diagonal of a square?
A square has 2 diagonals that are equal in length and bisect each other at right angles.
Which group of quadrilaterals has diagonals that bisect their opposite angles?
Either a square or rectangle fit this description.
What is the same about rhombus and square?
All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.All four sides are equal.The diagonals bisect each other at right angles.Opposite angles are equal.
What quadrilaterals have diagonals that bisect the angels of the quadrilateral?
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
What are the angles of a rectangles diagonals?
The diagonals are equal in length and bisect each other forming vertical opposte equal angles
Which one of the following are not the properties of square a diagonals bisect each other perpendicularly b all the angles are equal and acute c the diagonals are equal and bisects each other?
It is 'b' because the 4 interior angles of a square are all equal right angles
Is diagonals of rhambus equal?
No but they bisect each other at right angles
A square that's a parallelogram with diagonals bisect?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. A square is a parallelogram with four sides of equal length and angles of equal size (right angles).
What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?
It is a square because its diagonals are equal in length and they bisect each other at right angles which is 90 degrees The diagonals of a rhombus are not equal in length but they meet at right angles.
Do the diagonals of parallelogram bisect each other?
Yes. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
What are five attributes of a square?
It is a polygon. It has four sides of equal length. It has four angles which are all right angles. Its two diagonals bisect each other at right angles. Its area is the square of the length of its side.
What is a quadrilateral with diagonals that bisect each other?
The diagonals of any parallelogram (square, rhombus, rectangle, rhomboid) bisect each other. The difference is the the diagonals are equal in length for a square and rectangle, and not equal for a rhombus or rhomboid (oblique diamond).
