Honors Geometry Companion Book, Volume 1

6.1.3 Conditions for Parallelograms - Practice

1.  Show that PQRS is a parallelogram for x = 7 and p = 4.

2.   Show that EFGH is a parallelogram for y = 7 and z = 9.

3. Determine if KLMN must be a

4. Determine if IJKL must be a parallelogram. Justify your answer. Given: ∠ I and ∠ L are supplementary, ∠ J and ∠ K are supplementary, and ∠ I and ∠ J are congruent.

parallelogram. Justify your answer.

5. Show that the quadrilateral with vertices W ( − 2, 1), X (1, 5), Y (1, 2), and Z ( − 2, − 2) is a parallelogram.

6. Show that the quadrilateral with vertices L (0, 4), M (3, 5), N (2, 1), and O ( − 1, 0) is a parallelogram.

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