Question

7. Given the points R(-5, 3), 5(-5, 4), 7(-3, 4), and

U(-3, 1), which line is perpendicular to TU?
A: RS
B: RT
C: ST
D: SU

Answer 1

C: ST

Explanation:

Perpendicular Lines

The four points R(-5, 3), S(-5, 4), T(-3, 4), and U(-3, 1) are shown in the image attached below.

The vertical line TU is also shown. The only possible line perpendicular to TU is ST because it's a horizontal line.

Horizontal lines have a slope of 0. Let's verify the slope between points S(-5,4) and T(-3,4):

`\displaystyle m=(4-4)/(-3+5)=(0)/(2)=0`

Once verified, the answer is C: ST