Algebraic Expressions and Geometry, grade 9, question 1

01/03/2017 Grade 9 1,623
  1. rectangle x          (x>0) ;                                                                                    S represents the area of rectangle ABCD  and S’ represents the area of trapezoid EFCD.
  1. Express S in terms of x.
  2. Prove that S’ = (x+2)(6-x).
  3. Calculate x if S’ = 12.
  4. In what follows x = 2
  5. Calculate ED and EG.
  6. Verify that triangle GEF is a reduction of triangle GDC with scale factor and center to be determined.