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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 $E(-9,-10), F(-9,9)$ , and $G(8,9)$ . What is the length, in units, of $\overline{E F}$ ? $\newline$ Answer: $\square$ units

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Write equations of hyperbolas in standard form using properties

Full solution

Q. 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

\overline{E F}

?

\newline

Answer:

\square

units

Identify Coordinates: Identify the coordinates of points $E$ and $F$ to calculate the distance between them. $\newline$ $E(-9,-10)$ and $F(-9,9)$ .
Recognize Bar EF: Recognize that the $x$ -coordinates of $E$ and $F$ are the same, which means that bar( $EF$ ) is vertical.
Use Distance Formula: Use the distance formula for points with the same $x$ -coordinate: Distance = $|y_2 - y_1|$ .
Substitute Y-Coordinates: Substitute the $y$ -coordinates of points $E$ and $F$ into the distance formula: $\text{Distance} = |9 - (-10)|$ .
Calculate Distance: Calculate the distance: $\text{Distance} = |9 + 10| = |19|$ .
Simplify Absolute Value: Simplify the absolute value: $\text{Distance} = 19 \text{ units}.$

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