Draw six rectangles whose area is 24 in the coordinate systemcoordinate systemcoordinate system.

Calculate the area of a trapezoid ABCD whose vertices are A (-2; -1), B (4; 1), C (1; 2), D (-1; 2).

Points A (2; -2), B (5; -2), C (5; 1) are following vertices of a square. Give coordinates of the point D. Calculate the area of the ABCD square.

Mark vertices of the rectanglerectanglerectangle in the coordinate systemcoordinate systemcoordinate system, in such a way that coordinates are integers. Calculate the area and the perimeter of this rectanglerectanglerectangle.

The line segment AB where A (-1; 1) and B (5; 1) is the base of the triangle ABC, whose area is equal to 18. Give coordinates of the vertex C if the triangle ABC is:

a) right‑angled, b) isosceless.

An extra task:

Mark a tetragon ABCD whose coordinates are A (1; 2), B (5; 2), C (6; 3), D (2; 3) in the coordinate systemcoordinate systemcoordinate system. Then mark the tetragon A’B’C’D’ whose vertices are coordinates that are opposite numbers to coordinates of the ABCD tetragon. Calculate areas and perimeters of both tetragons. What do you notice?

There are points A (5, 0) and S (2, 1). Diagonals of the rectangle ABCD intersect at the point S. Mark the rectangle ABCD in the coordinate system and calculate its area and perimeter.

Mark five points in the coordinate system of integer coordinates. Connect these points to obtain a polygon. Calculate the area of the obtained polygon by dividing it into smaller figures whose area is easy to calculate. Did you manage to do the exercise?

Describe the solution in English.