Question

Autumn drew a quadrilateral in which the opposite sides are parallel and also have the same length.

What type of quadrilateral could Autumn have drawn?

Select all that apply.

Responses

square
square

trapezoid
trapezoid

rhombus
rhombus

parallelogram
parallelogram

rectangle
rectangle

Answer 1

The quadrilateral described by Autumn has opposite sides that are both parallel and of equal length. This fits the definition of a parallelogram. Since the opposite sides are not just parallel but also equal in length, the following types of quadrilaterals apply:

1. **Parallelogram** - This is the general category for quadrilaterals with opposite sides that are parallel and equal in length.

2. **Rectangle** - This is a specific type of parallelogram where all angles are right angles.

3. **Rhombus** - This is another specific type of parallelogram where all sides are of equal length.

4. **Square** - This is a specific type of rectangle and rhombus, where all sides are of equal length and all angles are right angles.

However, a trapezoid does not qualify because, by definition, a trapezoid has only one pair of parallel sides, not both.

Based on this understanding, the correct selections are:

- square
- rhombus
- parallelogram
- rectangle

**Trapezoid** is not a correct answer in this context.