Asked by Big Papa
Line WV is perpendicular to both line RS and line TU.
On a coordinate plane, 3 lines are shown. Line V W goes through (negative 1, 5) and (1, 5). Line R S goes through (negative 5, 3) and (5, 1). Line T U goes through (negative 1, negative 2) and (4, negative 3).
Which statement must be true about line TU?
Line TU is parallel to line RS.
Line TU is perpendicular to line RS.
Line TU has no slope.
Line TU has a slope of –5.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: Line TU is parallel to line RS.
Reason: If two lines are both perpendicular to the same line (WV), they are parallel to each other. You can also check slopes: slope of RS = (1−3)/(5−(−5)) = −2/10 = −1/5, slope of TU = (−3−(−2))/(4−(−1)) = −1/5. Equal slopes ⇒ the lines are parallel.
Reason: If two lines are both perpendicular to the same line (WV), they are parallel to each other. You can also check slopes: slope of RS = (1−3)/(5−(−5)) = −2/10 = −1/5, slope of TU = (−3−(−2))/(4−(−1)) = −1/5. Equal slopes ⇒ the lines are parallel.
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