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A triangle has vertices on a coordinate grid at E(-9,-4),F(-9,7), and G(3,7). What is the length, in units, of bar(EF) ? Answer: units

A triangle has vertices on a coordinate grid at E(−9,−4),F(−9,7) E(-9,-4), F(-9,7) , and G(3,7) G(3,7) . What is the length, in units, of EF‾ \overline{E F} ?\newlineAnswer: □\square units

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Q. A triangle has vertices on a coordinate grid at E(−9,−4),F(−9,7) E(-9,-4), F(-9,7) , and G(3,7) G(3,7) . What is the length, in units, of EF‾ \overline{E F} ?\newlineAnswer: □\square units
  1. Identify Coordinates: Identify the coordinates of points EE and FF. Point EE has coordinates (−9,−4)(-9, -4) and point FF has coordinates (−9,7)(-9, 7).
  2. Recognize Vertical Line: Recognize that EF‾\overline{EF} is a vertical line segment because the xx-coordinates of EE and FF are the same.\newlineSince the xx-coordinates are the same, we can find the length of EF‾\overline{EF} by calculating the difference in the yy-coordinates.
  3. Calculate Length: Calculate the length of bar(EF). The length of bar(EF) is the absolute difference between the y-coordinates of points E and F. Length of bar(EF) = ∣y-coordinate of F−y-coordinate of E∣=∣7−(−4)∣=∣7+4∣=11\lvert y\text{-coordinate of } F - y\text{-coordinate of } E\rvert = \lvert 7 - (-4)\rvert = \lvert 7 + 4\rvert = 11 units

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