Correct answer is J(-0.5,1)
These points lies inside the pentagon.
To determine which of the given ordered pairs can be located inside the pentagon formed by points A, B, C, D, and E, we need to look at the position of the points relative to the pentagon's boundaries.
The ordered pair represents a point's position on a coordinate plane, with the first number being the x-coordinate (horizontal position) and the second number being the y-coordinate (vertical position).
From the options provided:
- F. (-1, -1)
- G. (1, -1)
- H. (1, 2)
- J. (-0.5, 1)
We need to consider the shape and position of the pentagon on the coordinate plane:
1. Locate the Vertices: Identify the coordinates of the vertices of the pentagon.
2. Check the Position of Each Ordered Pair: Determine if the ordered pair falls within the boundaries of the pentagon.
- If the x-coordinate of the ordered pair is between the smallest and largest x-coordinates of the pentagon's vertices and the y-coordinate is between the smallest and largest y-coordinates of the vertices, then the point may be inside the pentagon.
- Additionally, for points on the same horizontal or vertical level as a vertex, we need to check if they fall between the vertices connected by the pentagon's edges.
However F ,G ,H are outside the range of the vertices, it is not inside the pentagon.