Coordinate Plane Problem-Solving Adventures

A park is located at point (3, 4) on a coordinate plane. If a path leads to the park from the origin (0, 0), what is the distance of the path?

• 3

• 4

• 6

• 5

A store is located at (6, 2) on a coordinate grid. If you walk from the origin to the store and then to the point (6, 5), how many units do you walk in total?

• 5

• 2√5 + 1

• 3√2 + 1

• 2√10 + 3

A school is at point (2, 3) and a library is at (5, 7). What is the straight-line distance between the school and the library?

• 3

• 5

• 7

• 4

A farmer plots his field on a coordinate plane. The corners of the field are at (1, 1), (1, 5), (4, 5), and (4, 1). What is the area of the field?

• 12

• 10

• 15

• 8

A delivery truck starts at the point (0, 0) and makes deliveries at (2, 3) and (5, 1). What is the total distance traveled by the truck if it goes from the origin to the first delivery and then to the second?

• 2 * sqrt(13)

• 5 * sqrt(2)

• 10

• 3 * sqrt(5)

A city map shows a restaurant at (4, 6) and a gas station at (1, 2). If you want to find the midpoint between these two locations, what are the coordinates of the midpoint?

• (2, 3)

• (3, 4)

• (5, 6)

• (2.5, 4)

A basketball court is represented on a coordinate plane. The three-point line is at a distance of 6 units from the basket located at (0, 0). What are the coordinates of the points on the three-point line that are directly to the right and left of the basket?

• (-5, 0)

• [(6, 0), (-6, 0)]

• (0, 6)

• (5, 0)

A bike path runs from (0, 0) to (8, 8). If a cyclist rides halfway along the path, what are the coordinates where they will stop?

• (2, 2)

• (6, 6)

• (4, 4)

• (8, 0)

A zoo has an entrance at (2, 1) and a petting area at (7, 3). If a visitor walks from the entrance to the petting area, how many units do they travel horizontally and vertically?

• 6 units horizontally and 1 unit vertically

• 5 units horizontally and 5 units vertically

• 4 units horizontally and 3 units vertically

• 5 units horizontally and 2 units vertically

A treasure map shows a treasure located at (3, 7). If you start at (0, 0) and move 3 units right and 7 units up, where will you end up?

• (3, 7)

• (3, 0)

• (0, 7)

• (7, 3)