Question

Put an X in the box if the shape always has the property. Property Parallelogram Rectangle Rhombus Square Trapezoid Isosceles Kite Trapezoid 1. Both pairs of opp. sides are 2. Diagonals are 3. Diagonals are er endicular 4. Diagonals bisect each other 5. Consecutive angles are su lementa 6. Both pairs of opposite L's are

Answer 1

Based on the properties of each shape you've mentioned, the table would look like this:

| Property | Parallelogram | Rectangle | Rhombus | Square | Trapezoid | Isosceles Trapezoid | Kite |
|-----------------------------------------------------------|---------------|-----------|---------|--------|-----------|----------------------|------|
| 1. Both pairs of opp. sides are equal | X | X | X | X | | | |
| 2. Diagonals are equal | | X | | X | | | |
| 3. Diagonals are perpendicular | | | X | X | | | X |
| 4. Diagonals bisect each other | X | X | X | X | | | X |
| 5. Consecutive angles are supplementary | X | X | X | X | X | | |
| 6. Both pairs of opposite angles are equal | X | X | X | X | | X | |

### Explanation of Properties:
1. **Both pairs of opposite sides are equal**: Holds true for all quadrilaterals.
2. **Diagonals are equal**: Only true for rectangles and squares.
3. **Diagonals are perpendicular**: True for rhombuses, squares, and kites.
4. **Diagonals bisect each other**: True for all parallelograms, including rectangles and rhombuses.
5. **Consecutive angles are supplementary**: This property is true for all quadrilaterals.
6. **Both pairs of opposite angles are equal**: This property is true for all parallelograms and the isosceles trapezoid.