Position and Direction

The diagram shows a grid with a point $P$ marked on it. What are the coordinates of point $P$?

Where is the triangle located on the grid?

To get to point $(3, 5)$, how many units do you move along the $y$-axis?

What are the coordinates of point $D$?

A square is drawn on the grid. Three of its vertices are at $(1, 1)$, $(1, 4)$, and $(4, 4)$. What are the coordinates of the fourth vertex needed to complete the square?

Which of these points is further from the origin $(0, 0)$?

Point $S$ is at $(4, 2)$. If you move it $3$ units left, what are the new coordinates?

A gardener is planting a row of trees. The first tree is at $(1, 2)$ and the second tree is at $(2, 4)$. If the trees follow a linear pattern ($y$ increases by 2 for every 1 increase in $x$), where will the fourth tree be planted?

A star is located at $(3, 2)$. If the star is translated 5 units right and 4 units up, what are its new coordinates?

A map of a school shows the Library at $(2, 8)$ and the Gym at $(8, 2)$. If the Office is exactly halfway between the Library and the Gym, what are the coordinates of the Office?

Translate the point $(15, 5)$ by $10$ units left. What are the new coordinates?

Translate the point $(1, 1)$ by $9$ units up. What are the new coordinates?

Translate the point $(7, 8)$ by $7$ units down. What are the new coordinates?

Translate the point $(2, 5)$ by $6$ units right. What are the new coordinates?

Describe the translation if a vertex moves from $(5, 0)$ to $(5, 5)$.

Point $G$ at $(1, 6)$ is translated $8$ units right and $3$ units down. Where is $G$ now?

Translate the point $(0, 3)$ by $9$ units right and $2$ units down. What are the new coordinates?

A point $(10, 10)$ is translated $4$ units left, $2$ units down, $3$ units right, and $5$ units up. Where does it end?

A triangle has vertices at $(0, 0), (2, 0),$ and $(1, 2)$. It is translated $x+5, y+5$. What is the sum of the $y$-coordinates of the new vertices?

A rectangle is moved $4$ units North and $3$ units West. If the new coordinates of a corner are $(0, 10)$, what were the original coordinates of that corner?

Distance from $(3, 2)$ to $(3, 0)$ is how many units?

Start at $(5, 8)$. Move $4$ units down and $3$ units left. Coordinate?

Movement from $(6, 6)$ to $(9, 6)$ is in which direction?

Start at $(2, 3)$. Move $6$ units right and $1$ unit down. New position?

Describe the path from $(7, 7)$ to $(3, 3)$.

If you move $4$ units up and $4$ units right from $(2, 3)$, where are you?

Starting at $(4, 7)$, move $3$ units right and $5$ units down. What are the coordinates?

A piece on a board moves from $(1, 1)$ to $(3, 2)$. If it makes four such identical moves, what is its final position?

If you are at $(8, 3)$ and want to reach $(3, 8)$, which movement is correct?

A point at $(x, y)$ is moved $3$ units right and $4$ units down to reach $(7, 2)$. What are the values of $x$ and $y$?