**Warmup**

**Activity #1**

** Investigate the Different Types of Parallelograms**.

Parallelograms are classified into three main types: **square, rectangle, and rhombus**, and each of them has its own unique properties.

- Check the two boxes in the figure below to see the angles and side lengths.â€‹
- Drag the blue points around to see different types of a parallelogram.
- Turn on the grid for a detail representation.

- Answer the questions below.

**Activity #2**

** Investigate the Properties of a Parallelogram.**

A parallelogram with all four sides equal in length is called a rhombus. If all four angles of a parallelogram are equal, then each angle equals 90Â°, and the figure is a RECTANGLE. A parallelogram that is both equilateral and equiangular is a SQUARE.

- Move the slider slowly to the right and observe the figure.â€‹

- Answer the questions below.

**Activity #3**

**Investigate if a Figure is a Parallelogram.**

An examination of alternate angles across parallel lines quickly shows that opposite angles in a parallelogram are equal and that adjacent angles are supplementary, that is, sum to 180Â°. The parallelogram is the only quadrilateral with this property. The DIAGONALs of a parallelogram bisect one another, and again the parallelogram is the only quadrilateral that has this property.

- Move the points in the graph below so that the figure forms a parallelogram.â€‹
- Use any 1 or more of the provided tools to verify that your quadrilateral is indeed a parallelogram.

- Answer the questions below.

**Challenge #1**

**Challenge #2**

**Challenge #3**

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