Question

The vertices of a quadrilateral defg are d(3, -2), e(0, -3), f(-2, 3) and g(4, 1). (a) find the length of each side of the quadrilateral.

Answer 1

To find the length of each side of the quadrilateral DEF, we can use the distance formula. The distance formula is: d = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of two points.

Step-by-step explanation:

To find the length of each side of the quadrilateral DEF, we can use the distance formula. The distance formula is: d = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of two points.

Using the distance formula, we can find the length of each side:

1. dDE = sqrt((0 - 3)^2 + (-3 - (-2))^2) = sqrt(9 + 1) = sqrt(10)
2. dEF = sqrt((-2 - 0)^2 + (3 - (-3))^2) = sqrt(4 + 36) = sqrt(40)
3. dFG = sqrt((4 - (-2))^2 + (1 - 3)^2) = sqrt(36 + 4) = sqrt(40)
4. dGD = sqrt((4 - 3)^2 + (1 - (-2))^2) = sqrt(1 + 9) = sqrt(10)