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A triangle has vertices on a coordinate grid at 
U(-2,-7),V(8,-7), and 
W(-2,4). What is the length, in units, of 
bar(UV) ?
Answer: units

A triangle has vertices on a coordinate grid at U(2,7),V(8,7) U(-2,-7), V(8,-7) , and W(2,4) W(-2,4) . What is the length, in units, of UV \overline{U V} ?\newlineAnswer: \square units

Full solution

Q. A triangle has vertices on a coordinate grid at U(2,7),V(8,7) U(-2,-7), V(8,-7) , and W(2,4) W(-2,4) . What is the length, in units, of UV \overline{U V} ?\newlineAnswer: \square units
  1. Identify Coordinates: Identify the coordinates of points UU and VV. Point UU has coordinates (2,7)(-2, -7) and point VV has coordinates (8,7)(8, -7).
  2. Recognize Horizontal Line: Recognize that UV\overline{UV} is horizontal because both points have the same yy-coordinate (7)(-7). Since the yy-coordinates are the same, we can find the length of UV\overline{UV} by calculating the difference in the xx-coordinates.
  3. Calculate Length: Calculate the length of bar(UV). The length of bar(UV) is the absolute value of the difference between the x-coordinates of V and U. Length of bar(UV) = 8(2)=8+2=10=10|8 - (-2)| = |8 + 2| = |10| = 10 units

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