The following coordinate plane shows three of the vertices of a rectangle.

what are the coordinates of point Z? (choose)

what are the coordinates of point P? ( choose)

which point has coordinates (1,4)? (choose)

in order to create a rectangle using these points as three of the vertices, what coordinates should be used for fourth vertex?
(choose)

1. answers choose 1,4 6, 2 3,5
2. answers choose 1,4 6,2 3,5
3. answers choose T Z P
4. answers choose 7,2 4,1 6,5

1 answer

To accurately determine the missing coordinates and identify the vertices necessary to create a rectangle, we typically need to know the coordinates of the vertices provided.

However, since you mentioned typical choices and vertices without providing the actual coordinates of the points already given, I can give you a general explanation of how you would identify those points:

  1. Finding Point Z: If you have two known points (let's say A and B) and you know that you are forming a rectangle, you would need to determine which option gives you a coordinate that allows for a rectangle formation. So, you'd match points according to the geometry of a rectangle (parallel sides, equal angles).

  2. Finding Point P: Similar to Point Z, you would use the knowledge of the other points and their relation to determine what Point P could logically be in the context of forming a rectangle with the other known points.

  3. Identifying the Point with Coordinates (1, 4): You would simply check which of the options provided matches (1, 4) and determine which option correctly identifies that point.

  4. Determining the Fourth Vertex: If you know three vertices of a rectangle, you can find the fourth vertex by ensuring that the sides opposite each other are equal and parallel.

Since I don't have the visual coordinates of the rectangle and the points you are referencing, I recommend reviewing the relationship of the points. Each time you identify a vertex, ensure that the sides maintain a right angle to confirm the rectangle shape.

For exact selections, you need to provide the coordinates of the three vertices of the rectangle or at least some context related to the spatial arrangement of these points. If you provide those, I can assist further!