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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.
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What is a quadrilateral with diagonals intersect at right angles?
square and rectangle * * * * * No. Square and Kite but NOT rectangle.
What is a quadrilateral with equal diagonals and no right angles?
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.
The diagonals of a kite are always blank?
perpendicular. meaning that they make a right angle when they cross
What are the properties of a kite?
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
What are four attributes of a rhombus?
1. Opposite angles congruent 2. All sides are congruent 3. The diagonals are perpendicular bisectors of each other 4. Diagonals bisect the angles NOTE: Four congruent right triangles are formed with the right angles It has all of the properties of a parallelogram and a kite
Does a kite have 2 right angles?
The diagonals of a kite cross each other at right angles
What quadrilateral that has no right angles but does have diagonals that are equal and cross over at right angles?
kite
Do diagonals of the shape kite cross at right angles?
Yes
Do the diagonals of a kite cross at a right angle?
no, it crosses many angles 11 year Rex
What shape has diagonals cross at right angles what is the shape called?
A kite, a rhombus (special case of a kite), a square (a special case of rhombus).
Does a kite's diagonals create right angles?
Yes
Are the diagonals in a kite bisected?
Yes at right angles
Does a kite have three right angles?
No but its diagonals are perpendicular
Do the diagonals intersect at right angles on a kite?
Yes.
Is it possible to draw a kite with 4 right angles?
No because then it would be a square or a rectangle but a kite's diagonals meet at right angles.
Are the diagonals of a kite at right angles to each other?
Yes, they are.
How is finding the area of a rhombus similar to finding the area of a kite?
Because in both cases their diagonals cross at right angles So their areas are: 0.5*product of diagonals
