To determine which coordinates could be the vertices of Kassie’s rectangle, we need to select points that form opposite corners (or vertices) of a rectangle. In a rectangle, opposite sides are parallel, and the x-coordinates of the points on each vertical side will be the same, while the y-coordinates of the points on each horizontal side will be the same.
Given the options:
- (-6, -1)
- (-6, 5)
- (2, -1)
- (2, 4)
- (2, 5)
- (0, 5)
We are looking for two pairs of points that share the same x-coordinates (to form vertical sides) and two pairs that share the same y-coordinates (to form horizontal sides).
Potential Vertex Pairings:
- The x-coordinates of (-6, -1) and (-6, 5) can form one side of the rectangle because they have the same x-coordinate (-6).
- The x-coordinates of (2, -1) and (2, 5) can form another side of the rectangle because they have the same x-coordinate (2).
Now we need corresponding y-coordinates to complete the rectangle:
- We can pair the points (-6, -1) with (-6, 5) (one vertical side)
- And pair the points (2, -1) with (2, 5) (the other vertical side)
Additionally, (2, 4) can also serve as a vertex vertically with other points since rectangles can have a height that accommodates various y-values.
Final Set of Vertices:
- (-6, -1)
- (-6, 5)
- (2, -1)
- (2, 5)
With these selections, we can confirm that a rectangle can be formed. Therefore, the four coordinates that could be the vertices of Kassie’s rectangle are:
- (-6, -1)
- (-6, 5)
- (2, -1)
- (2, 5)
The coordinates (2, 4) can be excluded as it doesn't contribute to the rectangle given the established pairs. Thus, the resulting vertices are likely:
(-6, -1), (-6, 5), (2, -1), (2, 5).