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Name _____________________________________ Class _____________ Date ____________

Practice 6-4                                                       Special Parallelograms

For each parallelogram, (a) choose the best name, and then (b) find the measures of the
numbered angles.
 1.                                2.                                  3.




 4.                                5.                                 6.




The parallelograms below are not drawn to scale. Can the parallelogram have the
conditions marked? If not, write impossible. Explain your answer.
 7.                                8.                                9.
HIJK is a rectangle. Find the value of x and the length of each diagonal.
10.         and                                     11.               and




12.               and                               13.                 and




For each rhombus, (a) find the measures of the numbered angles, and then (b) find the area.
14.                                      15.                        16.




Determine whether the quadrilateral can be a parallelogram. If not, write impossible.
Explain your answer.
17. One pair of opposite sides is parallel, and the other pair is congruent.




18. Opposite angles are congruent and supplementary, but the quadrilateral is not a rectangle.

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Practice 6.4

  • 1. Name _____________________________________ Class _____________ Date ____________ Practice 6-4 Special Parallelograms For each parallelogram, (a) choose the best name, and then (b) find the measures of the numbered angles. 1. 2. 3. 4. 5. 6. The parallelograms below are not drawn to scale. Can the parallelogram have the conditions marked? If not, write impossible. Explain your answer. 7. 8. 9.
  • 2. HIJK is a rectangle. Find the value of x and the length of each diagonal. 10. and 11. and 12. and 13. and For each rhombus, (a) find the measures of the numbered angles, and then (b) find the area. 14. 15. 16. Determine whether the quadrilateral can be a parallelogram. If not, write impossible. Explain your answer. 17. One pair of opposite sides is parallel, and the other pair is congruent. 18. Opposite angles are congruent and supplementary, but the quadrilateral is not a rectangle.