For what values of x and y is PQRS a parallelogram?

Step-by-step explanation:

Given

The attached parallelogram

Required

Find x and y

Opposite sides are equal

So:

This gives:

-- (1)

-- (2)

Collect like terms

Substitute

Collect like terms

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)