The short answer is: because that is what a kite is.
Long answer (although some minor steps have been skipped):
Consider a kite, ABCD, where AB = DA and BC = CD
Draw the diagonal AC.
Then triangles ABC and ACD are congruent (SSS).
So angle BAC = angle DAC.
Now draw diagonal BD which intersects AC at E.
Then triangles ABE and ADE are congruent (SAS)
So angle AEB = angle AED.
But these angles are supplementary. Therefore they must be right angles.
square and rectangle * * * * * No. Square and Kite but NOT rectangle.
A Rhombus * * * * * WRONG! A rhombus does not have equal diagonals. If it did it would be a square! The shape is a special case of a kite.
perpendicular. meaning that they make a right angle when they cross
Well, honey, diagonals on a kite bisect each other because a kite is a special kind of quadrilateral where the diagonals are perpendicular. So, when two lines are perpendicular, they create right angles, and right angles mean the diagonals bisect each other. It's like a geometry magic trick, but without the rabbit in the hat.
The intersection of the diagonals of a kite form 90 degree (right) angles. This means that they are perpendicular. The longer diagonal of a kite bisects the shorter one. This means that the longer diagonal cuts the shorter one in half. It is a 4 sided quadrilateral Its 4 interior angles add up to 360 degrees It has no parallel sides Its adjacent sides are equal It has 1 pair of opposite angles that are equal It has 2 diagonals that intersect each other at right angles Its perimeter is the sum of its 4 sides Its area formula is: 0.5 times product of its diagonals
The diagonals of a kite cross each other at right angles
kite
Yes
Yes, the diagonals of a kite do cross at 90 degrees. In a kite, one diagonal bisects the other, and the angles formed at the intersection are right angles. This property is a key characteristic of kites, distinguishing them from other quadrilaterals.
no, it crosses many angles 11 year Rex
A kite, a rhombus (special case of a kite), a square (a special case of rhombus).
Yes
Yes.
Yes at right angles
No but its diagonals are perpendicular
Yes, they are.
No because then it would be a square or a rectangle but a kite's diagonals meet at right angles.