Points P (-9,-2) and Q (-2,5) are two of the vertices of a right triangle. They are the endpoints of the hypotenuse
of the triangle. The third vertex lies in the second quadrant. Use graph paper to plot points P (-9,-2) and Q (-2,5) and find the third vertex. What is the point of the third vertex?
Question 1 options:
(-2, -2)
(-9, 5)
(-9, -2)
(-2, 9)
To find the third vertex of the right triangle, we can use the fact that the third vertex lies on the y-axis due to it being in the second quadrant.
Plotting points P (-9,-2) and Q (-2,5) on a graph paper:
- Point P: (-9,-2)
- Point Q: (-2,5)
To find the third vertex:
- The x-coordinate of the third vertex will be the same as that of Point P. So, x = -9.
- The y-coordinate of the third vertex will be the same as that of Point Q. So, y = 5.
Therefore, the third vertex is (-9,5).