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Point
G is located at -10 . Points
H and
I are each 8 units away from Point
G. Where are
H and I located?

H=◻quadI=◻

Point $\mathrm{G}$ is located at $-10$ . Points $\mathrm{H}$ and $\mathrm{I}$ are each $8$ units away from Point $\mathrm{G}$ . Where are $\mathrm{H}$ and I located? $\newline$ $\mathrm{H}=\square \quad \mathrm{I}=\square$

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Translations: find the coordinates

Full solution

Q. Point

\mathrm{G}

is located at

-10

. Points

\mathrm{H}

and

\mathrm{I}

are each

8

units away from Point

\mathrm{G}

. Where are

\mathrm{H}

and I located?

\newline

\mathrm{H}=\square \quad \mathrm{I}=\square

Identify Initial Position: Identify the initial position of Point G. Point G is located at $-10$ on a number line.
Determine Possible Positions: Determine the possible positions of Points $H$ and $I$ . Since Points $H$ and $I$ are each $8$ units away from Point $G$ , they can be either $8$ units to the left or $8$ units to the right of Point $G$ .
Calculate Position of H: Calculate the position of Point H. $\newline$ If Point H is $8$ units to the right of Point G, we add $8$ to the position of Point G. $\newline$ $H = -10 + 8 = -2$
Calculate Position of I: Calculate the position of Point I. $\newline$ If Point I is $8$ units to the left of Point G, we subtract $8$ from the position of Point G. $\newline$ $I = -10 - 8 = -18$

More problems from Translations: find the coordinates

Question

\mathrm{R}

-4

\mathrm{S}

\mathrm{T}

10

units away from Point

\mathrm{R}

\mathrm{S}

\mathrm{T}

\newline

\mathrm{S}=\square \quad \mathrm{T}=\square

Posted 2 months ago

Question

\mathrm{I}

-3

\mathrm{J}

\mathrm{K}

10

units away from Point

\mathrm{I}

\mathrm{J}

\mathrm{K}

\newline

\mathrm{J}=\square \quad \mathrm{K}=\square

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\newline

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\begin{tabular}{|c|c|}

\newline

x

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\newline

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\newline

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\newline

\newline

\newline

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