Quadrilaterals in the Coordinate Plane

Find the area of the figure to the right.  Round to the nearest tenth.

• 20 square units

• 49 square units

• 18 square units

• 22 square units

What is the MOST specific type of quadrilateral  formed by A(-2, -1), B(0, 6), C (7, 4), and D(5, -3)?  Why?

• Parallelogram (opposite sides are parallel)

• Trapezoid (one set of parallel sides)

• Rectangle (adjacent sides are perpendicular)

• Square (adjacent sides are perpendicular and all sides are congruent)

Which of the coordinates given could be the fourth point used to form a rectangle?

• (3, -6)

• (-3, -6)

• (-6, 3)

• (4, -6)

Find the area of the quadrilateral on the coordinate plane

• 10 sq. units

• 6 sq. units 

• 8 sq. units

• 12 sq. units

parallelogram

• A quadrilateral with only one pair of parallel sides

• A four-sided plane figure whose four sides are equal.

• A four-sided polygon with both pairs of opposite sides parallel.

• A four-sided plane figure.

rhombus

• A quadrilateral with two pairs of adjacent equal sides

• A four-sided plane figure whose four sides are equal.

• A four-sided plane figure whose angles are all 90 degrees.

• A quadrilateral with only one pair of parallel sides

Name this quadrilateral, using its most specific name.

• square

• rhombus

• trapezoid

• rectangle

Find the area.

• 64 m

• 72 m

• 72 m²

• 64 m²

Two vertices of a quadrilateral drawn on a coordinate plane are (-7, 5) and (-7,-1) . Which of the following statements is true about the other two vertices of the quadrilateral?

• The vertices (-3,-1) and (-3,5) will complete a square. 

• The vertices ( -3 , -1 ) and ( -3,7) will complete a rhombus. 

• The verticles (-3, -3) and (-3,7) will complete a rectangle.

• The vertices ( -3,-3) and (-3,3) will complete a parallelogram

Three of the vertices of a rectangle are (5,2) , (-3,2) and (5,-2). What is the fourth vertex of the rectangle ?

• ( -2,-3)

• (-3,-5)

• (-5,-2)

• (-3,-2)