Direction: Consider the following for the next two (02) items that follow.

The two vertices of and equilateral triangle are (0, 0) and (2, 2).

Consider the following statements:

1. The third vertex has at least one irrational coordinate.

2. The area is irrational.

Which of the above statements is/are correct?

Direction: Consider the following for the next two (02) items that follow.

The two vertices of and equilateral triangle are (0, 0) and (2, 2).

The difference of coordinates of the third vertex is

Direction: Consider the following for the next two (02) items that follow.

The coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(-1, 2) and C(3, 5).

What is the equation of the diagonal BD?

Direction: Consider the following for the next two (02) items that follow.

The coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(-1, 2) and C(3, 5).

What is the area of the parallelogram?