In a rectangle ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively and T is the point on RS such that RT = 2TS. If the area of ABCD is 'k' times the area of ∆PQT then 'k' is

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Solution

The correct option is B
4

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In a rectangle ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively and T is the point on RS such that RT = 2TS. If the area of ABCD is 'k' times the area of ∆PQT then 'k' is

P, Q, R

and

S

are respectively the mid-points of the sides

A B, B C, C D

and

D A

of a quadrilateral

A B C D

such that

A C ⊥ B D

. Prove that

P Q R S

is a rectangle.

Q. ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

Q. Question 4
P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD such that

A C ⊥ B D

. Prove that PQRS is a rectangle.

ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

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In a rectangle ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively and T is the point on RS such that RT = 2TS. If the area of ABCD is 'k' times the area of ∆PQT then 'k' is

The correct option is B 4

The correct option is B
4