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A triangle has vertices on a coordinate grid at E(-9,-10),F(-9,9), and G(8,9). What is the length, in units, of bar(EF) ? Answer: units

A triangle has vertices on a coordinate grid at E(−9,−10),F(−9,9) E(-9,-10), F(-9,9) , and G(8,9) G(8,9) . 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,−10),F(−9,9) E(-9,-10), F(-9,9) , and G(8,9) G(8,9) . 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 to calculate the distance between them.\newlineE(−9,−10)E(-9,-10) and F(−9,9)F(-9,9).
  2. Recognize Bar EF: Recognize that the xx-coordinates of EE and FF are the same, which means that bar(EFEF) is vertical.
  3. Use Distance Formula: Use the distance formula for points with the same xx-coordinate: Distance = ∣y2−y1∣|y_2 - y_1|.
  4. Substitute Y-Coordinates: Substitute the yy-coordinates of points EE and FF into the distance formula: Distance=∣9−(−10)∣\text{Distance} = |9 - (-10)|.
  5. Calculate Distance: Calculate the distance: Distance=∣9+10∣=∣19∣\text{Distance} = |9 + 10| = |19|.
  6. Simplify Absolute Value: Simplify the absolute value: Distance=19 units.\text{Distance} = 19 \text{ units}.

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