Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain.

See Problem 2.

For what value of x is the figure the given special parallelogram?

11. rhombus

    

12. rectangle

    

13. rectangle

    

    L N = 4 x − 7 l n equals , 4 x minus 7

    M O = 2 x + 13 m o equals . 2 x plus 13

See Problem 3.

14. Carpentry A carpenter is building a bookcase. How can the carpenter use a tape measure to check that the bookshelf is rectangular? Justify your answer and name any theorems used.

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