# Worksheet: Quadrilaterals on the Coordinate Plane

In this worksheet, we will practice identifying quadrilaterals described by the coordinates of their vertices by calculating slopes and lengths of sides and diagonals.

**Q2: **

Quadrilateral has vertices , , , and . Using the midpoint formula, determine whether is a parallelogram.

- AIt is a parallelogram.
- BIt is not a parallelogram.

**Q3: **

A quadrilateral has vertices at the points and .

Work out the slope of the four edges of the quadrilateral.

- A Slope
- B Slope
- C Slope
- D Slope
- E Slope

By finding the product of the slope, can we know if the quadrilateral is a rectangle?

- Ayes
- Bno

**Q4: **

A quadrilateral has vertices at the points and .

Work out the slope of the four edges of the quadrilateral.

- A Slope of , Slope of , Slope of , Slope of
- B Slope of , Slope of , Slope of , Slope of
- C Slope of , Slope of , Slope of , Slope of
- D Slope of , Slope of , Slope of , Slope of
- E Slope of , Slope of , Slope of , Slope of

What type of shape is ?

- Atrapezium
- Bsquare
- Crectangle
- Dparallelogram
- Erhombus

**Q5: **

Find the perimeter and area of the quadrilateral whose vertices are , , , and .

- Aperimeter , area
- Bperimeter , area
- Cperimeter , area
- Dperimeter , area
- Eperimeter , area

**Q6: **

Find the perimeter and the area of the quadrilateral whose vertices are , , , and . If necessary, round your answers to the nearest tenth.

- Aperimeter , area
- Bperimeter , area
- Cperimeter , area
- Dperimeter , area
- Eperimeter , area

**Q7: **

Find the area of a quadrilateral with vertices , , , and .

**Q8: **

A zoo plotted a map of its exhibits on the coordinate plane where each unit represented 1 ft. The vertices of the lion's enclosure were at , , , and . Find the area of the lion's enclosure.

**Q9: **

A factory plotted its building on a map using a coordinate plane where each unit represented 1 m. The vertices of one of the buildings were plotted at , , , , and . Find the area of the building.

**Q12: **

Quadrilateral has vertices , , , and . Using the midpoint formula, determine whether is a parallelogram.

- AIt is not a parallelogram.
- BIt is a parallelogram.