IM 6.7.14 Practice: Distances on a Coordinate Plane
Here are 4 points on a coordinate plane. Label each point with its coordinates.
- Label each point with its coordinates.
- Plot a point that is 3 units from point . Label it .
- Plot a point that is 2 units from point . Label it .
Each set of points are connected to form a line segment. What is the length of each?
A = and B =
C = and D =
E = and F =
On the coordinate plane, plot four points that are each 3 units away from point P = (-2, -1). Write the coordinates of each point.
Noah’s recipe for sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water.
Noah prepares large batches of sparkling orange juice for school parties. He usually knows the total number of liters, , that he needs to prepare. Write an equation that shows how Noah can find , the number of liters of soda water, if he knows .
Sometimes the school purchases a certain number, , of liters of orange juice and Noah needs to figure out how much sparkling orange juice he can make. Write an equation that Noah can use to find if he knows .
For a suitcase to be checked on a flight (instead of carried by hand), it can weigh at most 50 pounds. Andre’s suitcase weighs 23 kilograms.
Can Andre check his suitcase? Explain or show your reasoning. (Note: 10 kilograms 22 pounds)