Question

Which properties would be helpful when working in a coordinate plane? (select all that apply) Consecutive angles are supplementary Diagonals bisect each other Opposite angles are congruent Opposite sides are congruent Opposite sides are parallel

Answer 1

When working in a coordinate plane, the following properties would be helpful:

1. **Consecutive angles are supplementary** - This property is useful for understanding relationships in quadrilaterals, particularly paralleled structures.

2. **Diagonals bisect each other** - This pertains mainly to parallelograms and provides insights into the symmetry of figures.

3. **Opposite angles are congruent** - This is particularly useful in identifying properties of parallelograms and other polygonal shapes.

4. **Opposite sides are congruent** - This property helps in confirming the characteristics of specific quadrilaterals, particularly parallelograms and rectangles.

5. **Opposite sides are parallel** - This is essential for identifying parallelograms and can be used in slope calculations in the coordinate plane.

So, all of the listed properties can be helpful when working in a coordinate plane, depending on the context of the shapes being analyzed.