Test Your Knowledge

-Do your homework and go to Denny's Doughnuts.

1.    Given: Parallelogram ABCD                  

          is isosceles

        Prove:  ABCD is a rectangle

                            PROOF

2.    Given: Rectangle ABCD

                  AC = 4x + 4

                 BD = 2x + 12

                  AB = 3x + 5

                  CD = 6x - 7

                 AD = x + 3

        Find: AD 

                   SOLUTION

3.    Given: ABCD is an isosceles trapezoid with legs AD and BC

         Prove: is isosceles

                 PROOF

4.    Given:  ABCD is a Rhombus,  BD = 12                                                

                      angle C = 60 degrees

        Find:  Perimeter and Area of ABCD

                    SOLUTION

5.    Given:  AC = 5x - 3                               

                   BD = 6x - 6

                   BC = 4x + 1

        Find:  Perimeter of ABCD

                SOLUTION

6.  Always, Sometimes, or Never

        a)  The figure formed by joining the midpoints of a kite is a rectangle.

        b) The diagonals of a trapezoid are congruent.

        c) Two consecutive angles of a parallelogram are congruent.

        d) The diagonals of a rhombus are congruent.

        e) The figure formed by joining the midpoints of a kite is a square.

                ANSWER

7.  Given:    WXYZ is an isos. trapezoid with lower base XY

                    angle X = m - 10                       

                    angle Y =  n +3

                    angle W = 2n - 5

                    angle Z = m + 2

   Find:  m and n

                SOLUTION

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