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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We have been given a diagram with $△LMN$ drawn in it.

When a figure is rotated $90_{∘}$ counterclockwise about the origin, the coordinates of the figures endpoints will change in the following way. $(a,b)preimage →(-b,a)image $ Using this rule on the vertices of $△LMN,$ we can find the coordinates of the rotated figure.

Point | $(a,b)$ | $(-b,a)$ |
---|---|---|

$L$ | $(1,6)$ | $(-6,1)$ |

$M$ | $(-2,4)$ | $(-4,-2)$ |

$N$ | $(3,2)$ | $(-2,3)$ |

Now we can draw $△L_{′}M_{′}N_{′}.$

The second transformation is a translation of $△L_{′}N_{′}M_{′}$ by three units to the left and two units up. $(x,y)→(x−3,y+2) $ Let's perform these translations.

Finally, we'll remove $△L_{′}M_{′}N_{′}$ from the diagram.