Question

right triangle def has vertices at d(0, 0) and e(10, 0). which best describes possible locations of point f?
a. any point between d and e except where y = 0
b. any point on the line x = 10 except where y = 0
c. any point on the line y = 0 except where x = 10
d. any point on the line y = 10 except where x = 0

Explanation:

Step1: Recall properties of a right - triangle

In a right - triangle, two sides are perpendicular. The line segment connecting D(0, 0) and E(10, 0) lies on the x - axis (y = 0).

Step2: Determine perpendicular lines

For a right - triangle DEF with DE as one side, the side perpendicular to DE will be a vertical line passing through either D or E or a horizontal line perpendicular to the x - axis. Since DE lies on the x - axis (y = 0), a line perpendicular to it can be a vertical line. The vertical line passing through E has the equation x = 10. The right - angle can be formed at point F on this vertical line as long as F is not on the x - axis (y≠0) to form a non - degenerate right - triangle.

Answer:

B. Any point on the line x = 10 except where y = 0