Question

2-1(C) Match the organisms in column A with their action in column B.

A
B
(1) Two pair of djacent sides are equal and diagonal intersect
(a) Rectangle
each other at 90
(2) Diagonals are perpendicular and bisect each other
(b) Kite
but not equal
(3) Diagonals are equal but do not perpendicular
(c) Parallelogram
(d) Rhombus​

Answer 1

Answer:

may be my answer helps you

Understanding Quadrilaterals

Some Special Parallelograms

The diagonals of a rectangl...

MATHS

The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.

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ANSWER

Given:- i) ABCD is a rectangle

ii) AC and BD intersect each other at right angle i.e AC⊥BD

To Prove: ABCD is a square

In ΔDOC and ΔBOA

∠DOC=∠BOA(each90

0

)

∠OCD=∠OAB(alternateinteriorangles)

DC=BA(given)

ΔDOC≅ΔBOA(byAAScriterion)

=OC=OA(byp.c.t)−(1)

Now In ΔOAB and ΔCOB

OA=OC(fromeq1)

∠AOB=∠COB(each90

0

)

OB=OB(Common)

so,ΔAOB≅ΔCOB(bySASrule)

=AB=CB(byc.p.c.t)

ABCD is a rectangle in which pair of corresponding sides is equal

so, ABCD is a square