IM 6.7.14 Lesson: Distances on a Coordinate Plane
Plot points in your assigned quadrant and label them with their coordinates.
Write the coordinates of each point shown in the graph below.
Answer these questions for each pair of points.
and
and
and
Point F has the same coordinates as point C, except its y-coordinate has the opposite sign. Plot point F on the coordinate plane and label it with its coordinates.
How far away are and from the -axis?
What is the distance between and ?
Point G has the same coordinates as point E, except its x-coordinate has the opposite sign. Plot point G on the coordinate plane and label it with its coordinates.
How far away are and from the -axis?
What is the distance between and ?
Point has the same coordinates as point , except both of its coordinates have the opposite signs. In which quadrant is point ?
Label each point with its coordinates.
Find the distance between each of the following pairs of points.
Point and
Point and
Point and
Which of the points are 5 units from ?
Which of the points are 2 units from ?
Plot a point that is both 2.5 units from A and 9 units from E. Label that point F and write down its coordinates.
Priya says, “There are exactly four points that are 3 units away from .” Lin says, “I think there are a whole bunch of points that are 3 units away from .” Do you agree with either of them? Explain your reasoning.