Geometry Application on a Coordinate Plane

Square TUVW on the coordinate plane has points T (0, 0), U (5, 5), and V (0, 10). What are the coordinates of point W?

• (5, -5)

• (-5, 5)

• (-5, -5)

• (10, 0)

Quadrilateral DEFT has vertices D (2, 7), E (-4, 4), F (5, -6), and T (11, -3). What is the best name for quadrilateral DEFT?

• trapezoid

• square

• parallelogram

• rectangle

Triangle BAT has points B (-3, 0), A (0, 3), and T (3, 0). Which of the following best describes triangle BAT?

• equilateral

• scalene, right

• isosceles, right

• isosceles, obtuse

Square MNPR has points M (3, 8) and N (-2, 1). What is the slope of N̅P ?

• -5/7

• 7/5

• 7

• The slope cannot be determined.

Square FGHI has points F (0, 3) and G (0, 5). Which could be the coordinates of point H?

• (5, 3)

• (3, 0)

• (2, 5)

• (5, 5)

A triangle on the coordinate plane has points located at A (2, 5), B (5, 9), and C (8, 5). What is the area of the triangle?

• 8 square units

• 10 square units

• 12 square units

• 24 square units

What is the area of quadrilateral WXYZ?

• 40.88 square units

• 90.88 square units

• 100 square units

• 109 square units

What is the area of the rectangle?

• 9.75 units²

• 13.5 units²

• 16 units²

• 60 units²

What is the perimeter of the composite figure?

• 78 units

• 90 units

• 114.75 units

• 125.5 units

Triangle ABC is a right, isosceles triangle with points A (0, 0) and B (4, -3). Which of the following could be the coordinate of point C? Select all that apply.

• (3, 4)

• (4, 0)

• (8, 0)

• (0, -6)