6.2.2 Conditions for Special Parallelograms - Practice
1. Given that MP = QN and MN = QP , tell what additional information is needed to conclude that MNPQ is a rectangle.
2. Given that PQ = QR = RS = SP , tell what additional information is needed to conclude that PQRS is a square.
3. Determine whether the conclusion is valid. If not, tell what additional information is needed to make it valid. Given: QM ≅ PN , MN ≅ QP , MP ≅ QN Conclusion: MNPQ is a rectangle.
4. Determine whether the conclusion is valid. If not, tell what additional information is needed to make it valid. Given: ZW ≅ YX ≅ ZY ≅ WX Conclusion: WXYZ is a rhombus.
5. Use the diagonals to determine whether a parallelogram with vertices P ( − 4, 0), Q (0, 4), R (4, 0), and S (0, − 4) is a rectangle, rhombus, or square. Give all the names that apply.
6. Use the diagonals to determine whether a parallelogram with vertices E (5, 0), F (2, 4), G ( − 2, 1), and H (1, − 3) is a rectangle, rhombus, or square. Give all the names that apply.
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