Area Of Triangles And Quadrilaterals (shoelace Formulae)

5 Questions

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Area Quizzes & Trivia

Hi, welcome to this quiz. You must attempt this quiz to guage your understanding of this section on coordinate geometry.


Questions and Answers
  • 1. 
    Find the area of triangle ABC, given that A = (2, -3) , B = (-2, -1) and C = (4, 3).Hence, the area of triangle ABC = ________ sq. units
  • 2. 
    Given that A= (2, t), B = (3 + t, 2) and C =(3,4) are in an anticlockwise direction. Find the values of t if the area is 2.5 square units.   Therefore, t = ______ or t = _______.A. 1, 3B. 2, 5C. 3, -1D. None of the above
  • 3. 
    Given that A = (3, 4), B = (-4, 2), C= (6, -1) and D = (20, 3) , find the area of quadrilateral ABCD.   Area of quadrilateral ABCD = ______ sq. units.
  • 4. 
    Given that A = (2, -3), B = (3, -1) , C = (2, 0) and D = (-1, 1) . Find the area of triangle ABC : the area of triangle ACD.   Area of triangle ABC : Area of triangle ACD = ____ : ____A. 1 : 2B. 2 : 1C. 1 : 3D. None of the above
  • 5. 
    A triangle ABC with the given vertices A= (1, 3), B =(5, 1) and C = (3, r) in an anticlocwise direction. Find the value of r when its area is 6 square units .   Hence , r = ____.