Question

the diagonals of a rectangle are equal and perpendicular justify your answer

Answer 1

because they rectangle propertis simple....

Answer 2

If,AE = CE

 BE = BE by reflexive property of congruence. A segment is congruent to itself.

AB = CB

So, by SSS congruency rule,

ΔAEB = ΔCEB

Now, we know that corresponding angles of congruent triangles are congruent. As ∠AEB and ∠CEB are corresponding angles.

∠AEB = ∠CEB.

But since they are supplementary angles 

∠AEB + ∠CEB = 180°

So,

m∠AEB = m∠CEB = 90°

Therefore, the diagonals of the rectangle ABCD are perpendicular to each other.

And this what we wanted to proof. 

Mark as the brainliest,if this answer helps.