MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quadrilaterals

ABCD is a qua...

Question

ABCD is a quadrilateral in which P, Q, R, and S are mid-points of the sides AB, BC, CD, and DA. AC is a diagonal. Show that: PQ=SR

Open in App

Solution

In $Δ$ ABC, P and Q are mid-points of AB and BC.
As per mid-point theorem,
PQ || AC
and $P Q = \frac{1}{2} A C$
Similarly, $S R = \frac{1}{2} A C$
∴ PQ = SR (Proved)

Suggest Corrections

thumbs-up

0

Similar questions

Q. In given figure

A B C D

is a quadrilateral in which

P, Q, R

S

are mid-points of the sides.

A B, B C, C D

D A

A C

is a diagonal. Show that:

S R ∥ A C

S R = \frac{1}{2} A C

Q. ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:

Q. ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is the diagonal. Show that
(i) SR || AC and

S R = \frac{1}{2} A C

(ii) PQ = SR
(iii) PQRS is a parallelogram.

ABCD is a quadrilateral in which P.Q,R and S are mid-points of the sides AB, BC,CD and DA ( see the given figure). AC is a diagonal. It can be concluded that PQ = SR

Q. ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:

SR || AC and SR =

\frac{1}{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Quadrilaterals

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon