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Suppose ABCD is a rectangle.Consider the two triangles ABC and ABD
AB = DC (opposite sides of a rectangle)
BC is common to both triangles
and angle ABC = 90 deg = angle DCB
Therefore, by SAS, the two triangles are congruent and so AC = BD.
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What is the relationship between diagonals on a rhombus?
Not in general. The diagonals of a rectangle are equal length. A rhombus that is also a rectangle would be a square.
In a parallelogram are the diagonals equal?
No, the properties of a paralleogram are as follows:two parallel sidesbisecting diagonalsequal opposite anglesand it does not need to have all equal sides it just needs to have OPPOSITE equal sidesIf the diagonals were equal, the figure would have to be a square, rectangle, or rhombus.No. In fact they are equal only in exceptional circumstances.
The diagonals of a parallelogram are congruent?
No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.
A parallelogram with congruent diagonals is a?
square and rectangle
Do the diagonals of a rectangle bisect each other?
Yes
Prove that the diagonals of rectangle are equal?
prove any two adjacent triangles as congruent
How do you prove that a shape is a rectangle?
Check to see that -- it has four sides -- its two diagonals are equal.
Are the diagonals of a rectangle equel?
Yes the diagonals of a rectangle are equal in lengths
What are necessary when proving that the diagonals of a rectangle are congruent?
A ruler or a compass would help or aternatively use Pythagoras' theorem to prove that the diagonals are of equal lengths
What quarilateral has equal diagonals?
A square and a rectangle both have diagonals of equal lengths
In a rectangle the diagonals are?
The diagonals are equal and they bisect each other.
If a parallelogram is a rectangle then it's diagonals are what?
Its diagonals are equal in length
Are the diagonals of a rectangle equal?
yes they are
Does a rectangle have diagonals equal?
Yes
Are the diagonals of a rectangle equal sometimes always or never?
Diagonals are normally equal in lengths
Which shape has diagonals which are equal?
Any rectangle will have diagonals that are equal. Don't forget that since squares are also a special type of rectangle that they would also have congruent diagonals as well.
Which quadilateral shape has got diagonals of equal sides?
A square and a rectangle have diagonals of equal lengths
