Question

Abhilasha has drown a quadrilateral PQRS in which vertices P, Q, R and S are (1, 4), (-5, 4), (-5, -3) and (1, -3) respectively.what type of quadrilateral is formed.​

Answer 1

Answer:

Abhilasha has drown a quadrilateral PQRS in which vertices P, Q, R and S are (1, 4), (-5, 4), (-5, -3) and (1, -3) respectively.what type of quadrilateral is formed.

1,4 iii quadrant

-5'4 ii quadrant

Answer 2

Answer:

The given points are P(2, 1), Q(–1, 3), R(–5, –3) and S(–2, –5).

PQ =

(−1−2)2+(3−1)2=9+4=13

QR =

(−5+1)2+(−3−3)2=16+36=52=213

RS =

(−2+5)2+(−5+3)2=9+4=13

PS =

(−5−1)2+(−2−2)2=36+16=52=213

PQ = RS and QR = PS

Opposite sides are equal.

PR=(−3−1)2+(−5−2)2=16+49=65

QS=(−2+1)2+(−5−3)2=1+64=65

Diagonals are equal.

Thus, the given vertices form a rectangle.

Step-by-step explanation:

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