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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 $E(-9,-4), F(-9,7)$ , and $G(3,7)$ . What is the length, in units, of $\overline{E F}$ ? $\newline$ Answer: $\square$ units

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Calculate quartiles and interquartile range

Full solution

Q. 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

\overline{E F}

?

\newline

Answer:

\square

units

Identify Coordinates: Identify the coordinates of points $E$ and $F$ . Point $E$ has coordinates $(-9, -4)$ and point $F$ has coordinates $(-9, 7)$ .
Recognize Vertical Line: Recognize that $\overline{EF}$ is a vertical line segment because the $x$ -coordinates of $E$ and $F$ are the same. $\newline$ Since the $x$ -coordinates are the same, we can find the length of $\overline{EF}$ by calculating the difference in the $y$ -coordinates.
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) = $\lvert y\text{-coordinate of } F - y\text{-coordinate of } E\rvert = \lvert 7 - (-4)\rvert = \lvert 7 + 4\rvert = 11$ units

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