Question

1) Find d (A,B), if co-ordinates of A and B are
-2 and - 5 respectively.
(A)-2
(B) - 7
(C) 7
(D) - 5​

Answer 1

Answer:

A parallelogram which has equal diagonals are called rectangle.

⇒ Trapezium, rhombus and kite does not contain equal diagonal.

⇒ Proof for rectangle contains equal diagonals are given below :-

⇒ In given figure ABCD is a rectangle.

⇒ In △ABC and △DCB

⇒ BC = CB [Common]

⇒ AB = DC [Opposite sides of rectangle]

⇒ ∠ABC = ∠DCA = 90

∘

[Each angle of rectangle is 90

∘

]

⇒ △ABC ≅ △DCB [By SAS property]

∴ AC = BD [By CPCT]