Math, asked by latabaraiya28, 7 months ago

What type of quadalateral is it whose
diagonal
does not intersect​

Answers

Answered by AriyanDafadar
0

Answer:

I hope it was helpful:)

Step-by-step explanation:

Only diagonals of square, rectangle, parallelogram and rhombus bisect each other. ... In concave quadrilaterals one diagonal lies

Answered by madhupurkayastha766
1

Given: ABCD is a quadrilateral. AC and BD intersect at right angles. P, Q, R, S are mid points of respective sides.

In △ABC,

PQ∥AC and PQ=21AC (By mid point theorem)

In △ADC,

SR∥AC, and SR=21AC (By mid point theorem)

Therefore, PQ=SR and PQ∥SR

Similarly, PS=RQ and PS∥RQ

hence, PQRS is a parallelogram.

Since, PQ∥AC and QR∥BD

But, AC⊥BD

Hence, PQ⊥QR (Angles between two lines = Angles between their parallels)

Thus, PQRS is a rectangle.

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