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A triangle has vertices on a coordinate grid at 
T(-10,1),U(9,1), and 
V(9,-4). What is the length, in units, of 
bar(TU) ?
Answer: units

A triangle has vertices on a coordinate grid at T(10,1),U(9,1) T(-10,1), U(9,1) , and V(9,4) V(9,-4) . What is the length, in units, of TU \overline{T U} ?\newlineAnswer: \square units

Full solution

Q. A triangle has vertices on a coordinate grid at T(10,1),U(9,1) T(-10,1), U(9,1) , and V(9,4) V(9,-4) . What is the length, in units, of TU \overline{T U} ?\newlineAnswer: \square units
  1. Identify Coordinates: Identify the coordinates of points TT and UU. Point TT has coordinates (10,1)(-10, 1) and point UU has coordinates (9,1)(9, 1).
  2. Recognize Same Y-Coordinates: Recognize that the yy-coordinates of points TT and UU are the same. Since the yy-coordinates are the same, TU\overline{TU} is a horizontal line segment.
  3. Calculate Length: Calculate the length of bar(TUTU) using the difference in xx-coordinates.\newlineLength of bar(TUTU) = xx-coordinate of UU - xx-coordinate of TT\newlineLength of bar(TUTU) = 9(10)9 - (-10)\newlineLength of bar(TUTU) = xx00\newlineLength of bar(TUTU) = xx22 units

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