Quadrilateral abcd has vertices A(1,1) B(3,5) C(4,7) D(2,6). In what quadrant is abcd located?
since all the coordinates are positive, it is in the 1st quadrant.
If that gave you trouble, you need to review the quadrant stuff.
To determine the quadrant in which quadrilateral ABCD is located, you need to examine the coordinates of its vertices.
1. Start by identifying the x-coordinate of each vertex. The x-coordinate tells you whether the point is in the left or right half of the coordinate plane.
- A(1,1): x-coordinate = 1
- B(3,5): x-coordinate = 3
- C(4,7): x-coordinate = 4
- D(2,6): x-coordinate = 2
2. Next, consider the y-coordinate of each vertex. The y-coordinate indicates whether the point is in the top or bottom half of the coordinate plane.
- A(1,1): y-coordinate = 1
- B(3,5): y-coordinate = 5
- C(4,7): y-coordinate = 7
- D(2,6): y-coordinate = 6
3. Now, you can analyze the quadrilateral's location based on the signs of the x-coordinate and y-coordinate of all vertices.
- Since all x-coordinates of the vertices are positive, the quadrilateral is located either in Quadrant I or Quadrant IV.
- Since all y-coordinates of the vertices are positive, the quadrilateral is located either in Quadrant I or Quadrant II.
4. Considering the information from steps 3, you can conclude that the quadrilateral ABCD is located in Quadrant I, where both x and y coordinates are positive.
Therefore, quadrilateral ABCD is located in Quadrant I.