Coordinate Geometry

Four points are plotted on the coordinate grid below and then connected with segments to form a rectangle.

What is the perimeter of the rectangle?

• 24 units

• 10 units

• 20 units

• 8 units

A librarian plans to leave the library, stop by the post office, and then go to the diner. The path he takes is represented in the coordinate grid below.

What is the total distance from the library to the diner along this path?

• 9 units

• 10 units

• 15 units

• 41 units

What is the area of the trapezoid graphed?

• 168 square units

• 192 square units

• 336 square units

• 384 square units

The vertices of a triangle are located on a coordinate grid as follows: A(2,2), B(2,−6) and C(−5,−6).

What is the area of △ABC?

• 6 square units

• 12 square units

• 28 square units

• 56 square units

An artist is using this coordinate system to plan a mural. Each unit on the coordinate system represents 1 meter.

• 21 square meters

• 42 square meters

• 91 square meters

• 98 square meters

The vertices of a triangle are (3,5)

(3,5), (4,−4), (−2,−5).

Which coordinate grid shows this triangle?

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• 
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A city planner uses a coordinate grid to model the streets of a city. Each unit on the coordinate grid represents one city block. City hall is located at (0,0). The downtown area is represented by rectangle ABCD, which has the vertices listed below.

A(9,9), B(9,−2), C(−8,−2), D(−8,9)

What is the perimeter of the downtown area?

• 48 blocks

• 56 blocks

• 119 blocks

• 187 blocks

A sailboat racing team is designing the sail shown on this coordinate system. Each unit on the coordinate system represents 1 meter.

What is the area of the sail?

• 36 square meters

• 48 square meters

• 72 square meters

• 96 square meters

A map of a zoo shows the animal exhibits on a coordinate grid with each square on the grid representing 100 feet by 100 feet. The exhibit for the elephants, rhinoceroses, and hippopotamuses is shown as a polygon-shaped area with the vertices listed below.

Southwest corner (1,6), Northwest corner (3,9),(Northeast corner)(7,9), Southeast corner (5,6)

What is the distance between the northwest and northeast corners of the area?

• 200 feet

• 300 feet

• 400 feet

• 600 feet

The start and end points of subway train routes are identified on a coordinate grid. Each route runs along a straight line and each unit on the grid is one block.

The start and end points of the 7th Avenue route are (−12,9) and (−2,9).

The start and end points of the 32nd Street route are (−2,9) and (−2,−2).

The start and end points of the K Street route are (−2,−2) and (−12,9).

How long is the 7th Avenue route?

• 9 blocks

• 10 blocks

• 11 blocks

• 14 blocks