Question

Sonu has drawn a quadrilateral para in which vertices pqrs are (1,4) (-5,4) (-5,-3) and (1,-3) respectively. What type of quadrilateral is formed

Answer 1

Answer:

Rectangle

Step-by-step explanation:

We are given in quadrilateral PQRS

P = (1,4)

R = (-5,4)

P = (-5,-3)

P = (1,-3)

NOW using distance formula

PQ = √((1-(-5))² + (4-4)²) = √(6²) = 6 units

QR = √(((-5)-(-5))² + (4-(-3))²) = √(7²) = 7 units

RS = √(((-5)-1)² + (-3-(-3))²) = √(6²) = 6 units

SP = √((1-(1))² + (-3-4)²) = √(7²) = 7 units

This implies

Quadrilateral has two pair of equal sides

So

Quadrilateral is the rectangle

❤️THANKS❤️