Graphing in the Coordinate Plane

What are the coordinates of the missing vertex?

• (3,7)

• (4,7)

• (7,3)

• (7,4)

A builder uses the coordinate plane below to plan the location of a rectangular plot of land for a new house. The length of one side of the house will be located from (2, 8) to (2, −4). If the perimeter of the rectangular plot of land is 36 units, where can the builder plan to build the new house? What are the other possible coordinate for the location of the house?

• (6, 8) and (6, -4)

• (8, 8) and (8, -4)

• (-4, 8) and (-4, -4)

• (6, 6) and (-6, -4)

The drawing shows points A, B, and C.

At what location would you add point D to create a square?

• (2, 1)

• (4, 5)

• (5, 4)

• (5, 10)

On a coordinate plane, the four corners of Ronald’s garden are located at

      (0, 2), (4, 6), (8, 2), and (4, –2). Which of the following most accurately

      describes the shape of Ronald’s garden?

• square  

• rectangle          

• rhombus

• trapezoid

What point would complete a rectangle using points F, G, and H as the other 3 vertices?

• 4, 5

• 4, -5

• 5, 4

• 5, -4

Look at the map below. What shape is created if you connect the four locations?

• Regular Trapezoid

• Square

• Rectangle

• Right Trapezoid

A parallelogram contains the points (3,2), (1,-2), (-5,-2).

Which could be the fourth point on the parallelogram?

• (7,-2)

• (-5,1)

• (-5,2)

• (-3,2)

If the coordinates of the vertices of a quadrilateral are A(2, 2), B(6, 2), C(6, 6), and D(2, 6), what type of quadrilateral is it?

• Rectangle

• Equilateral triangle

• Square

• Rhombus

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

Use the table below to determine which of the following statements are true. Select all that apply.

• A. The distance between Point U and Point K is 8 units.

• B. The distance between Point C and Point K is 6 units.

• C. The distance between Point E and Point C is 7 units.

• D. The distance between Point U and Point C is 4 units.