Practice with Quadrilaterals

Complete these exercises and check your answers.

Answers

  1. Always true.
  2. Sometimes true.
  3. Always true.
  4. Always true.
  5. Always true.
  6. Never true.
  7. Must be a rectangle (and therefore a parallelogram), could be a square.
  8. Must be a quadrilateral. Could be a kite, parallelogram, rectangle, rhombus, or square depending on which sides are congruent and additional properties.
  9. Possible conjectures: diagonals are perpendicular, one diagonal bisects the other, one diagonal bisects its angles.
  10. Possible conjectures: diagonals are congruent, diagonals bisect each other.
  11. Possible conjectures: diagonals are perpendicular, diagonals bisect each other.
  12. Possible conjecture: one pair of opposite angles are congruent.