Question

Quadrilateral WXYZ with vertices W(-1, 1), X(2, -3), Y(0, -6), and Z(-2, -5): lies on the line x = -3.

A. True
B. False

Answer 1

The quadrilateral does NOT lie on the line x = -3.

Step-by-step explanation:

The given quadrilateral WXYZ with vertices W(-1, 1), X(2, -3), Y(0, -6), and Z(-2, -5) lies on the line x = -3.

To determine if the quadrilateral lies on the line x = -3, we need to check if all the x-coordinates of its vertices are equal to -3.

1. Checking the x-coordinate of W: -1 ≠ -3. So, W does not lie on the line.
2. Checking the x-coordinate of X: 2 ≠ -3. So, X does not lie on the line.
3. Checking the x-coordinate of Y: 0 ≠ -3. So, Y does not lie on the line.
4. Checking the x-coordinate of Z: -2 ≠ -3. So, Z does not lie on the line.

Since none of the vertices have an x-coordinate of -3, it can be concluded that the quadrilateral does NOT lie on the line x = -3. Therefore, the answer is B. False.