Question

Select all the correct descriptors for the relationship

Answer 1

Options (1), (3) and (5)

Explanation:

Coordinates of D → (2, 2)

Coordinates of E → (1, 6)

Coordinates of F → (5, 7)

Coordinates of G → (6, 3)

Length of ED =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

=
`√((2-1)^2+(2-6)^2)`

=
`√(17)`

Length of FG =
`√((5-6)^2+(7-3)^2)`

=
`√(17)`

Length of GD =
`√(6-2)^2+(3-2)^2)`

=
`√(17)`

Length of EF =
`√((1-5)^2+(6-7)^2)`

=
`=√(17)`

Since, all sides of the given quadrilateral are equal in length, quadrilateral will be a square.

Therefore, diagonals EG and DF will be perpendicular, equal in measure, congruent and will bisect each other.

Options (1), (3) and (5) are the correct options.